Дисертації з теми "Mathematical aspects of general relativity"
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Godazgar, Mohammad Mahdi. "Aspects of higher dimensional Einstein theory and M-theory." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/245148.
Повний текст джерелаAbdelfattah, Derhham. "General Relativity and penrose process." Master's thesis, University of Cape Town, 2016. http://hdl.handle.net/11427/28961.
Повний текст джерелаRendall, Alan D. "Some aspects of curvature in general relativity." Thesis, University of Aberdeen, 1987. http://digitool.abdn.ac.uk/R?func=search-advanced-go&find_code1=WSN&request1=AAIU009831.
Повний текст джерелаKeir, Joseph. "Aspects of stability and instability in general relativity." Thesis, University of Cambridge, 2016. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.709537.
Повний текст джерелаSbierski, Jan. "On the initial value problem in general relativity and wave propagation in black-hole spacetimes." Thesis, University of Cambridge, 2014. https://www.repository.cam.ac.uk/handle/1810/248837.
Повний текст джерелаCramer, Claes Richard. "Quantum aspects of time-machines." Thesis, University of York, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.265661.
Повний текст джерелаWatts, David G. "Inertial and electromagnetic aspects of matter induced from five-dimensional general relativity." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0008/NQ38281.pdf.
Повний текст джерелаThillaisundaram, Ashok. "Aspects of fluid dynamics and the fluid/gravity correspondence." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267097.
Повний текст джерелаFlanagan, Eanna E. Thorne Kip S. "Topics in general relativity : the hoop conjecture and theoretical aspects of gravitational wave detection /." Diss., Pasadena, Calif. : California Institute of Technology, 1994. http://resolver.caltech.edu/CaltechETD:etd-11132006-095610.
Повний текст джерелаCavalcanti, Rogério Teixeira. "Aspects of black hole physics beyond general relativity : extra dimensions, horizon wave function and applications." reponame:Repositório Institucional da UFABC, 2017.
Знайти повний текст джерелаTese (doutorado) - Universidade Federal do ABC, Programa de Pós-Graduação em Física, 2017.
Neste trabalho foram investigadas algumas conseguências da física de buracos negros em teorias cujo domínio está além do domínio da relatividade geral, em especial em teorias efetivos com dimensões extras. A investigação foi em substancialmente conduzida baseando-se em três efeitos gravitacionais, a saber, a radiação Hawking, o regime de deflexão forte de lentes gravitacionais e a formação de buracos negros quânticos. Uma solução de modelo cosmológico imerso em uma brana espessa foi também investigada. Modelos e teorias efetivas fornecem meios para testar os limites de validade de teorias conhecidas e indicam o que deveríamos esperar além desses limites. Baseado nessa ideia foram usados alguns modelos efetivos para estudar efeitos não previstos pela relatividade geral, associados a cada um dos fenômenos mencionados.
This work is devoted to investigate some consequences of black holes physics beyond the domain of general relativity, mainly in effective extra dimensional models. The investigation is carried along three gravitational effects, namely the Hawking radiation, the strong deflection of gravitational lensing and the formation of quantum black holes. A cosmological thick brane solution is also investigated. Effective theories and models provide a prominent approach for testing the limits of known theories and show what would be expected beyond that. Based on such idea we have used effective models for finding deviations of general relativity associated to each of the mentioned phenomena.
Apostolatos, Theocaris A. Thorne Kip S. Thorne Kip S. "Topics in general relativity : naked singularities, and theoretical aspects of gravitational waves from merging compact binaries /." Diss., Pasadena, Calif. : California Institute of Technology, 1995. http://resolver.caltech.edu/CaltechETD:etd-09112007-132644.
Повний текст джерелаReid, James Andrew. "Conformal holonomy and theoretical gravitational physics." Thesis, University of Aberdeen, 2014. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=215305.
Повний текст джерелаReeves, Edward. "Aspects of modified gravity." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/aspects-of-modified-gravity(69d3a682-1dbd-4876-9b28-dd8767aea20a).html.
Повний текст джерелаSchlue, Volker. "Linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/243640.
Повний текст джерелаDehouck, François. "Electric and magnetic aspects of gravitational theories." Doctoral thesis, Universite Libre de Bruxelles, 2011. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209867.
Повний текст джерелаDans la première partie, les espaces asymptotiquement plats à l’infini spatial sont décrits à l’aide d’une généralisation de la métrique de type Beig-Schmidt. La construction de charges à partir de l’étude des équations du mouvement et de la classification de tenseurs symétriques et de divergences nulles nous permet de démontrer l’unicité des charges de Poincaré pour l’ansatz non-généralisé en présence de conditions de parité. L’équivalence des charges de Ashtekar- Hansen et Mann-Marolf est ainsi revisitée. Dans le cas d’un ansatz généralisé, une régulation de la forme symplectique divergente, à l’aide de contre-termes rajoutés à l’action de Mann-Marolf, nous donne la possibilité de considérer un espace des phases sans conditions de parité, tout en gardant un principe variationnel bien défini. Le groupe asymptotique comprend alors, en plus des charges de Poincaré où les charges de Lorentz ne sont plus asymptotiquement linéaires, des charges non-triviales associées aux supertranslations et aux transformations logarithmiques.
Dans la deuxième partie, on étudie la dualité gravitationnelle et la définition de charges magnétiques en gravitation linéarisée. On revisite la dualité et on montre qu’une dualisation sur les indices de Lorentz facilite la compréhension de celle-ci. Les dix charges de Poincaré ainsi que leurs duales magnétiques sont alors exprimées en termes d’intégrales de surface. Nous illustrons ensuite nos résultats à travers l’étude des sources de certaines solutions électriques et de leur duales magnétiques. Les solutions électriques envisagées sont :les trous noirs de type Schwarzschild et de type Kerr ainsi que les ondes de chocs de type pp.
Dans la dernière partie, on établit la supersymétrie des espaces de type Taub-NUT lorentzien chargés électriquement et magnétiquement dans la supergravité N = 2. Motivé par l’existence d’une égalité BPS, on entreprend alors une recherche sur l’inclusion de la charge NUT dans l’algèbre de supersymétrie. Grâce à une complexification de la forme de Witten-Nester, cette contribution de la charge NUT à la superalgèbre est comprise comme une déformation topologique, symétrique, au crochet antisymétrique des super-charges. Ce résultat est alors appliqué à la superalgèbre N = 1 à travers l’étude des ondes de chocs de type pp.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished
Luo, Xianghui 1983. "Symmetries of Cauchy Horizons and Global Stability of Cosmological Models." Thesis, University of Oregon, 2011. http://hdl.handle.net/1794/11543.
Повний текст джерелаThis dissertation contains the results obtained from a study of two subjects in mathematical general relativity. The first part of this dissertation is about the existence of Killing symmetries in spacetimes containing a compact Cauchy horizon. We prove the existence of a nontrivial Killing symmetry in a large class of analytic cosmological spacetimes with a compact Cauchy horizon for any spacetime dimension. In doing so, we also remove the restrictive analyticity condition and obtain a generalization to the smooth case. The second part of the dissertation presents our results on the global stability problem for a class of cosmological models. We investigate the power law inflating cosmological models in the presence of electromagnetic fields. A stability result for such cosmological spacetimes is proved. This dissertation includes unpublished co-authored material.
Committee in charge: James Brau, Chair; James Isenberg, Advisor; Paul Csonka, Member; John Toner, Member; Peng Lu, Outside Member
Dold, Dominic Nicolas. "Instabilities in asymptotically AdS spacetimes." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/273930.
Повний текст джерелаGarcia, Raphael de Oliveira 1982. "Simulações numericas do colapso gravitacional de um campo escalar sem massa." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306524.
Повний текст джерелаDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
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Resumo: Esta dissertação trata de um problema de colapso gravitacional do campo escalar sem massa com simetria esférica, de acordo com as equações de Einstein com acoplamento mínimo. Desenvolvemos algoritmos simples mas com ajuste automático de refinamento para obter soluções numéricas. O refinamento é necessário para descrever os fenômenos do colapso. Utilizamos rotinas comuns para resolver equações diferenciais ordinárias advindas do método das linhas aplicado às equações diferenciais parciais do modelo matemático, a saber, rotinas de Runge-Kutta e de splines cúbicas. Mostramos que é possível obter soluções tão próximas quanto se queria à solução de Buracos Negros e da solução crítica com os algoritmos desenvolvidos e simples computadores de mesa.
Abstract: This dissertation is about a problem of gravitational collapse of the spherically symmetric massless scalar field in accord to the Einstein equations with minimal coupling. We developed simple but with adaptative mesh refinement algorithm to obtain numerical solutions. The mesh refinement is required to describe the collapse phenomena. We used common routines to solve ordinary differential equations that come from the method of lines applied to the partial differential equations of the mathematical model, namely, Runge-Kutta and cubic splines routines. We showed that it is possible to get solutions as close as we want to the Black Holes solution and to the critical solution using our developed algorithms and simple desktop computers
Mestrado
Fisica-Matematica
Mestre em Matemática Aplicada
Mösta, Philipp. "Novel aspects of the dynamics of binary black-hole mergers." Phd thesis, Universität Potsdam, 2011. http://opus.kobv.de/ubp/volltexte/2012/5982/.
Повний текст джерелаSchwarze Löcher gehören zu den extremsten und faszinierensten Objekten in unserem Universum. Elektromagnetische Strahlung kann nicht aus ihrem Inneren entkommen, und sie bilden die kompaktesten Objekte, die wir kennen. Wir wissen heute, dass in den Zentren der meisten Galaxien sehr massereiche schwarze Löcher vorhanden sind. Im Fall unserer eigenen Galaxie, der Milchstrasse, ist dieses schwarze Loch ungefähr vier Millionen mal so schwer wie unsere Sonne. Wenn zwei Galaxien miteinander kollidieren, führt dies auch dazu, dass ihre beiden schwarzen Löcher kollidieren und zu einem einzelnen schwarzen Loch verschmelzen. Das Simulieren einer solchen Kollision von zwei schwarzen Löchern, die Vorhersage sowie Analyse der von ihnen abgestrahlten Energie in Form von Gravitations- und elektromagnetischen Wellen, bildet das Thema der vorliegenden Dissertation. Im ersten Teil dieser Arbeit untersuchen wir die Verschmelzung von zwei schwarzen Löchern unter verschiedenen Gesichtspunkten. Wir zeigen, dass Ungleichmässigkeiten in der Geometrie des aus einer Kollision entstehenden schwarzen Loches dazu führen, dass es zuerst beschleunigt und dann abgebremst wird, bis diese Ungleichmässigkeiten in Form von Gravitationswellen abgetrahlt sind. Weiterhin untersuchen wir, wie der genaue Verschmelzungsprozess aus einer geometrischen Sicht abläuft und schlagen neue Methoden zur Analyse der Raumzeitgeometrie in Systemen vor, die schwarze Löcher enthalten. Im zweiten Teil dieser Arbeit beschäftigen wir uns mit den Gravitationswellen und elektromagnetischer Strahlung, die bei einer Kollision von zwei schwarzen Löchern freigesetzt wird. Gravitationswellen sind Wellen, die Raum und Zeit dehnen und komprimieren. Durchläuft uns eine Gravitationswelle, werden wir in einer Richtung minimal gestreckt, während wir in einer anderen Richtung minimal zusammengedrückt werden. Diese Effekte sind allerdings so klein, dass wir sie weder spüren, noch auf einfache Weise messen können. Bei einer Kollision von zwei schwarzen Löchern wird eine grosse Menge Energie in Form von Gravitationswellen und elektromagnetischen Wellen abgestrahlt. Wir zeigen, dass beide Signale in ihrer Struktur sehr ähnlich sind, dass aber die abgestrahlte Energie in Gravitationswellen um ein Vielfaches grösser ist als in elektromagnetischer Strahlung. Wir führen eine neue Methode ein, um die elektromagnetische Strahlung in unseren Simulationen zu messen und zeigen, dass diese dazu führt, dass sich die räumliche Struktur der Strahlung verändert. Abschliessend folgern wir, dass in der Kombination der Signale aus Gravitationswellen und elektromagnetischer Strahlung eine grosse Chance liegt, ein System aus zwei schwarzen Löchern zu detektieren und in einem weiteren Schritt zu analysieren. Im dritten und letzen Teil dieser Dissertation entwickeln wir ein verbessertes Suchverfahren für Gravitationswellen, dass in modernen Laser-Interferometerexperimenten genutzt werden kann. Wir zeigen, wie dieses Verfahren die Chancen für die Detektion eines Gravitationswellensignals deutlich erhöht, und auch, dass im Falle einer erfolgreichen Detektion eines solchen Signals, seine Parameter besser bestimmt werden können. Wir schliessen die Arbeit mit dem Fazit, dass die Kollision von zwei schwarzen Löchern ein hochinteressantes Phenomenon darstellt, das uns neue Möglichkeiten bietet die Gravitation sowie eine Vielzahl anderer fundamentaler Vorgänge in unserem Universum besser zu verstehen.
Howell, Eric John. "The characterization and temporal distribution of cosmological gravitational wave treatments." University of Western Australia. School of Physics, 2009. http://theses.library.uwa.edu.au/adt-WU2010.0095.
Повний текст джерелаFluder, Martin Felix. "Aspects of the class S superconformal index, and gauge/gravity duality in five/six dimensions." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:3362dc52-f87c-4d58-bf82-eeb9a46f8fb3.
Повний текст джерелаCattoën, Céline. "Applied mathematics of space-time & space+time : problems in general relativity and cosmology : a thesis submitted to the Victoria University of Wellington in fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics /." ResearchArchive@Victoria e-thesis, 2009. http://hdl.handle.net/10063/972.
Повний текст джерелаBebronne, Michael. "Theoretical and phenomenological aspects of theories with massive gravitons." Doctoral thesis, Universite Libre de Bruxelles, 2009. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210253.
Повний текст джерелаCette thèse est dédiée à une classe de théories décrivant des ondes gravitationnelles massives. Dans un premier temps, nous résumons les différents problèmes qui surgissent lorsqu'on tente de donner une masse aux ondes gravitationnelles. Ensuite, nous introduisons une classe de modèles et étudions certaines de leurs caractéristiques.
Le premier aspect étudié concerne l'existence d'une interaction de type instantanée. De telles interactions sont possibles étant donné que l'invariance de Lorentz est spontanément brisée dans les modèles considérés. Celles-ci sont dès lors discutées et un exemple concret est fourni.
La présence d'une interaction instantanée dans ces modèles a une conséquence directe sur les solutions "trous noirs" des équations du champ. En effet, on s'attend à ce que l'interaction instantanée puisse propager de l'information à l'extérieur d'un trou noir, ce qui entraînerait une modification de ces solutions par rapport à celles de la Relativité Générale. Cette supposition est confirmée par les solutions "trous noirs" obtenues dans cette thèse. Celles-ci peuvent soit imiter une certaine quantité de matière noire, soit conduire à un champ gravitationnel répulsif.
Finalement, les mécanismes de formation des grandes structures de l'Univers (galaxies, amas de galaxies, ) sont étudiés pour les théories considérées. Cette dernière discussion démontre que ces modèles reproduisent le comportement prévu par la Relativité Générale et sont, par conséquent, en accord avec les observations.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished
Nascimento, Danilo Borim do. "Natação em espaços curvos via teoria de calibre." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306425.
Повний текст джерелаDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
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Resumo: No espaço euclidiano, deformações de corpos quase-rígidos podem gerar rotações globais líquidas que obedecem, em cada instante, a lei de conservação do momento angular (o problema do gato caindo é um exemplo). Em espaços curvos, um ciclo de deformações de um corpo pode gerar não só rotações, mas também translações globais. Este fenômeno é conhecido como efeito swimming, ou natação. Avron e Kenneth apresentaram recentemente um modelo físico para descrever este fenômeno [Avron JE, Kenneth O, New J. Phys. 8, 68 (2006)]. Os autores tratam de corpos compostos por um conjunto de massas puntiformes em variedades estáticas (no contexto não-relativístico) e calculam o deslocamento obtido por um ciclo de deformações infinitesimais. Tal deslocamento é então relacionado, no caso de corpos pequenos, à curvatura do espaço ambiente. Nesta dissertação, propomos uma nova formulação para o efeito swimming utilizando formalismo de fibrados e conexões. O espaço de configurações do sistema é descrito como o espaço total de um fibrado principal, cujo espaço base é dado pelo espaço dos formatos do sistema e o grupo estrutural é (essencialmente) dado pelas isometrias da variedade ambiente. Dotando o fibrado de uma conexão que carrega consigo a informação sobre as leis físicas de conservação, expressamos o ciclo de deformações como uma curva fechada no espaço base, o movimento do corpo como o levantamento horizontal desta curva e o deslocamento resultante como a holonomia da mesma. Por meio deste formalismo, sistematizamos o cálculo do deslocamento gerado por ciclos de deformações arbitrárias, além de obter, em cada instante e analiticamente, a evolução temporal do sistema em questão
Abstract: In Euclidean space, cyclic deformations of quasi-rigid bodies can lead to net global rotations even though they satisfy, at each moment, the angular momentum conservation law (the falling cat problem is an example). In curved spaces, cyclic changes in the body shape can also lead to rotations, but also to global translations. This phenomenon is known as the swimming effect. In a recent work, Avron and Kenneth developed a formalism to describe this phenomenon in the non-relativistic context [Avron JE, Kenneth O, New J. Phys. 8, 68 (2006)], which may be used to calculate the net displacement caused by an infinitesimal cycle of deformations of a given body. This displacement is then related, for small swimmers, to the curvature of the ambient space. In the present work, we propose a new formulation for the swimming effect in terms of principal bundles and connections. The configuration space of the system is described by the total space of a principal bundle, whose base space is given by the space of shapes of the body and whose structural group is (essentially) given by the isometries of the ambient manifold. A given deformation cycleof the body then corresponds to a loop in the base space. By defining a connection in this bundle which conveys the physical conservation laws of the system, the corresponding physical motion of the body is then given by the horizontal lift of this curve in the base space, while the net displacement of the body is given by the holonomy associated with this loop. As a result we obtain, in a systematical way, the displacement generated by arbitrary deformation cycles and we get, for each instant of time, the time evolution of the system analytically
Mestrado
Geometria e Topologia
Mestre em Matemática
Smerlak, Matteo. "Divergence des mousses de spins : comptage de puissance et resommation dans le modèle plat." Phd thesis, Université de la Méditerranée - Aix-Marseille II, 2011. http://tel.archives-ouvertes.fr/tel-00662170.
Повний текст джерелаLamy, Frédéric. "Theoretical and phenomenological aspects of non-singular black holes." Thesis, Sorbonne Paris Cité, 2018. http://www.theses.fr/2018USPCC203/document.
Повний текст джерелаThe issue of singularities in General Relativity dates back to the very first solution to the equations of the theory, namely Schwarzschild's 1915 black hole. Whether they be of coordinate or curvature nature, these singularities have long puzzled physicists, who managed to better characterize them in the late 60's. This led to the famous singularity theorems applying both to cosmology and black holes, and which assume a classical behaviour of the matter content of spacetime summarized in the so-called energy conditions. The violation of these conditions by quantum phenomena supports the idea that singularities are to be seen as a limitation of General Relativity, and would be cured in a more general theory of quantum gravity. In this thesis, pending for such a theory, we aim at investigating black hole spacetimes deprived of any singularity as well as their observational consequences. To that purpose, we consider both modifications of General Relativity and the coupling of Einstein's theory to exotic matter contents. In the first case, we show that one can recover the static spherically symmetric non-singular black holes of Bardeen and Hayward in principle in mimetic gravity, and implicitly by a deformation of General Relativity's hamiltonian constraint in an approach based on loop quantum gravity techniques. In the second case, we stay inside the framework of General Relativity and consider effective energy-momentum tensors associated with a fully regular rotating Hayward metric and with a dynamical spacetime describing the formation and evaporation of a non-singular black hole. For the latter, we show that all models based on the collapse of ingoing null shells and willing to describe Hawking’s evaporation are doomed to violate the energy conditions in a non-compact region of spacetime. Lastly, the theoretical study of the rotating Hayward metric comes with numerical simulations of such an object at the center of the Milky Way, using the ray-tracing code Gyoto and mimicking the known properties of the accretion structure of Sgr A*. These simulations allow exhibiting the two very different regimes of the metric, with or without horizon, and emphasize the difficulty of asserting the presence of a horizon from strong-field images as the ones provided by the Event Horizon Telescope
Valcu, Caterina. "Autour des équations de contrainte en relativité générale." Thesis, Lyon, 2019. http://www.theses.fr/2019LYSE1180/document.
Повний текст джерелаThe long-term goal of my work is to find a viable alternative to the conformal method, which would allow us to better understand the geometry of the space of solutions of the constraint equations. The advantage of Maxwell's model (the drift model) is the presence of additional parameters. Its downside, however, is that it proves to be much more difficult from an analytic standpoint. My thesis is structued in two parts: a. Existence under suitable smallness conditions. We show that Maxwell's system is sufficiently reasonable: it can be solved even given the presence of focusing non linearities. We prove this under smallness conditions of its coefficients, and in dimensions 3,4 and 5. An immediate consequence is that the set of solutions is non-empty. b. Stability. We verify that the solutions of the system are stable: this result holds in dimensions 3,4 and 5, when the metric is conformally flat and the drift is small
Radermacher, Katharina Maria. "Strong Cosmic Censorship and Cosmic No-Hair in spacetimes with symmetries." Doctoral thesis, KTH, Matematik (Avd.), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-220400.
Повний текст джерелаDenna avhandling består av tre artiklar som undersöker det asymptotiska beteendet hos kosmologiska rumstider med symmetrier som uppstår i Matematisk Allmän Relativitetsteori. I Artikel A och B studerar vi rumstider med Bianchi symmetri och där materiemodellen är en ideal fluid. Vi undersöker beteendet av sådana rumstider nära ursprungssingulariteten ('Big Bang'). I Artikel A bevisar vi att den Starka Kosmiska Censur-förmodan håller för icke-exceptionella Bianchi klass B-rumstider. Med hjälp av expansions-normaliserade variabler visar vi detaljerade asymptotiska uppskattningar. I Artikel B visar vi liknande uppskattningar för stela fluider. I Artikel C betraktar vi T2-symmetriska rumstider som uppfyller Einsteins ekvationer för ett icke-linjärt skalärfält. För givna begynnelsedata visar vi global existens och entydighet av lösningar till motsvarande differentialekvationer för all framtid. I det speciella fallet med en konstant potential, en situation som motsvarar ett linjärt skalärfält på en bakgrund med en positiv kosmologisk konstant, undersöker vi i detalj det asymptotiska beteendet mot framtiden. Vi visar att den Kosmiska Inget-Hår-förmodan håller för lösningar som uppfyller en ytterligare a priori uppskattning, en uppskattning som vi visar gäller i T3-Gowdy-symmetri.
QC 20171220
Eltzner, Benjamin. "Local Thermal Equilibrium on Curved Spacetimes and Linear Cosmological Perturbation Theory." Doctoral thesis, Universitätsbibliothek Leipzig, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-117472.
Повний текст джерелаIn dieser Arbeit wird die von Schlemmer eingeführte Erweiterung des Kriteriums für lokales thermisches Gleichgewicht in Quantenfeldtheorien von Buchholz, Ojima und Roos auf gekrümmte Raumzeiten untersucht. Dabei werden verschiedene Probleme identifiziert und insbesondere die bereits von Schlemmer gezeigte Instabilität unter Zeitentwicklung untersucht. Es wird eine alternative Herangehensweise an lokales thermisches Gleichgewicht in Quantenfeldtheorien auf gekrümmten Raumzeiten vorgestellt und deren Probleme diskutiert. Es wird dann eine Untersuchung des dynamischen Systems der linearen Feld- und Metrikstörungen im üblichen Inflationsmodell mit Blick auf Uneindeutigkeit der Quantisierung durchgeführt. Zuletzt werden die Temperaturfluktuationen der kosmischen Hintergrundstrahlung auf Kompatibilität mit lokalem thermalem Gleichgewicht überprüft
Mokdad, Mokdad. "Champs de Maxwell en espace-temps de Reissner - Nordstr∫m- De Sitter : décroissance et scattering conforme." Thesis, Brest, 2016. http://www.theses.fr/2016BRES0060/document.
Повний текст джерелаWe study Maxwell fields on the exterior of Reissner-Nordstrom-de Sitter black holes. We start by studying the geometry of these spacetimes: we give the condition under which the metric admits three horizons and in this case we construct the maximal analytic extension of the Reissner-Nordstrom-de Sitter black hole. We then give a general description of Maxwell fields on curves spacetimes, their decomposition into spin components, and their energies. The first result establishes the pointwise decay of the Maxwell field in the exterior of a Reissner-Nordstrom-de Sitter black hole, as well as the uniform decay of the energy flux across a hyperboloid that recedes in the future. This chapter uses the vector fields methods (geometric energy estimates) in the spirit of the work of Pieter Blue. Finally, we construct a conformal scattering theory for Maxwell fields in the exterior of the black hole. This amounts to solving the Goursat problem for Maxwell fields on the null boundary of the exterior region, consisting of the future and past black hole and cosmological horizons. The uniform decay estimates of the energy are crucial to the construction of the conformal scattering theory
Verikios, George. "Understanding the world wool market : trade, productivity and grower incomes." University of Western Australia. School of Economics and Commerce, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0064.
Повний текст джерелаJacquet, Maxime J. "Negative frequency at the horizon : scattering of light at a refractive index front." Thesis, University of St Andrews, 2017. http://hdl.handle.net/10023/11780.
Повний текст джерелаLe, Tiec Alexandre. "Coalescence de trous noirs en relativité générale & Le problème de la matière noire en astrophysique." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2010. http://tel.archives-ouvertes.fr/tel-00521645.
Повний текст джерелаMoodley, Kavilan. "Aspects of spherically symmetric cosmological models." Thesis, 1998. http://hdl.handle.net/10413/3909.
Повний текст джерелаThesis (M.Sc.)-University of Natal, Durban, 1998.
Boero, Ezequiel Fernando. "Lentes gravitacionales y modelos geométricos para el estudio de sistemas astrofı́sicos en el contexto cosmológico." Doctoral thesis, 2017. http://hdl.handle.net/11086/5841.
Повний текст джерелаEn esta tesis se abordan tres temáticas principales: el uso de modelos geométricos para la descripción de sistemas astrofísicos, el desarrollo de un nuevo formalismo en la teoría de lentes gravitacionales que extiende ideas de trabajos previos al contexto cosmológico y, por último, la cuestión de cómo realizar promedios en el marco de la relatividad general. Uno de los motivos principales que persigue este trabajo es el de discutir la forma en que el estudio del contenido de materia en el Universo es abordado. En particular, aquí indagamos nuevas posibilidades de descripción de la fenomenología asociada al problema de la masa faltante presentando nuevas herramientas desde el área de la teoría de lentes gravitacionales débiles sobre un espaciotiempo de fondo cosmológico. Las mismas permiten un modelado mucho más general de la geometría de la lente que aquellas que son habitualmente consideradas y se basan esencialmente en una concepción Newtoniana de la distribución de materia.
This doctorate thesis deals with three main topics: the use of geometric models for the description of astrophysical systems, the development of a new formalism within the theory of gravitational lensing which improves and generalize previous ideas already presented to the cosmological context and, finally the problem of how to perform averages in the conceptual framework of general relativity. One of the main motivation of this work is to discuss the way in which the study of the matter content in the Universe is addressed. In particular, here we investigate new possibilities of description of the phenomenology related to the missing mass problem. We present new tool from the subject of weak gravitational lensing over a cosmological background spacetime. Such tools allow a much more general modelling of the lens geometry than those that are usually considered and which are based essentially on a Newtonian concepton of the matter distribution.
Hackett, Jonathan. "Forays into Mathematical Physics." Thesis, 2007. http://hdl.handle.net/10012/3351.
Повний текст джерелаIrmer, Ingrid. "Unusual properties - mathematical and physical - of the a-boundary construction." Thesis, 2003. http://hdl.handle.net/1885/41344.
Повний текст джерелаFlanagan, Eanna E. "Topics in general relativity : the hoop conjecture and theoretical aspects of gravitational wave detection." Thesis, 1994. https://thesis.library.caltech.edu/4534/1/Flanagan_ee_1994.pdf.
Повний текст джерелаCrisnejo, Gabriel. "Aspectos teóricos de lentes gravitacionales." Bachelor's thesis, 2017. http://hdl.handle.net/11086/5796.
Повний текст джерелаApostolatos, Theocaris A. "Topics in general relativity : naked singularities, and theoretical aspects of gravitational waves from merging compact binaries." Thesis, 1995. https://thesis.library.caltech.edu/3472/1/Apostolatos_ta_1995.pdf.
Повний текст джерелаBarry, Richard Alexander. "Topological properties of the abstract boundary construction for general relativity and their application to space-time extensions." Phd thesis, 2014. http://hdl.handle.net/1885/155941.
Повний текст джерелаGrain, Julien. "Relativite Generale et champs quantiques: quelques aspects de physique des trous noirs et de cosmologie en gravite de Lovelock, espaces de Sitter et dimensions supplementaires." Phd thesis, 2006. http://tel.archives-ouvertes.fr/tel-00104399.
Повний текст джерелаRainsford, Tamath Jane. "Newtonian and post-Newtonian cosmology / Tamath Rainsford." 2000. http://hdl.handle.net/2440/19818.
Повний текст джерелаxiii, 179 leaves ; 30 cm.
Title page, contents and abstract only. The complete thesis in print form is available from the University Library.
Finds that the post-Newtonian approximation seems to be a better approximation of the general relativistic theory than the standard Newtonian theory.
Thesis (Ph.D.)--Adelaide University, Dept. of Physics and Mathematical Physics, 2001
Rainsford, Tamath Jane. "Newtonian and post-Newtonian cosmology / Tamath Rainsford." Thesis, 2000. http://hdl.handle.net/2440/19818.
Повний текст джерелаxiii, 179 leaves ; 30 cm.
Finds that the post-Newtonian approximation seems to be a better approximation of the general relativistic theory than the standard Newtonian theory.
Thesis (Ph.D.)--Adelaide University, Dept. of Physics and Mathematical Physics, 2001
Okabe, Takahide. "Spatially-homogeneous Vlasov-Einstein dynamics." 2008. http://hdl.handle.net/2152/18198.
Повний текст джерелаtext
Heller, Michał. "Various aspects of non-perturbative dynamics of gauge theory and the AdS/CFT correspondence." Praca doktorska, 2010. http://ruj.uj.edu.pl/xmlui/handle/item/41654.
Повний текст джерелаMajtey, Ana Paula. "Sobre la noción de distancia en física estadística y mecánica cuántica /." Doctoral thesis, 2006. http://hdl.handle.net/11086/107.
Повний текст джерелаEstudiamos el concepto de distancia entre distribuciones de probabilidad y sus aplicaciones en problemas relevantes de la Física y la Biología. El eje central de este trabajo de tesis lo constituye la divergencia de Jensen-Shannon, una medida de distancia proveniente de la Teoría de la Información. Proponemos dos extensiones de esta cantidad: una en el contexto de la Mecánica Estadística no Extensiva y la otra en el marco de la Mecánica Cuántica.
Introducción --La divergencia de Jensen-Shannon -- La q-divergencia de Jensen-Shannon -- Complejidad de secuencias simbólicas -- Distancias y Filogénesis --La divergencia de Jensen-Shannon cuántica -- ap. a. Palabras en secuencia --ap. b.Complejidad máxima.
Fil: Majtey, Ana Paula. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Eltzner, Benjamin. "Local Thermal Equilibrium on Curved Spacetimes and Linear Cosmological Perturbation Theory." Doctoral thesis, 2012. https://ul.qucosa.de/id/qucosa%3A12005.
Повний текст джерелаIn dieser Arbeit wird die von Schlemmer eingeführte Erweiterung des Kriteriums für lokales thermisches Gleichgewicht in Quantenfeldtheorien von Buchholz, Ojima und Roos auf gekrümmte Raumzeiten untersucht. Dabei werden verschiedene Probleme identifiziert und insbesondere die bereits von Schlemmer gezeigte Instabilität unter Zeitentwicklung untersucht. Es wird eine alternative Herangehensweise an lokales thermisches Gleichgewicht in Quantenfeldtheorien auf gekrümmten Raumzeiten vorgestellt und deren Probleme diskutiert. Es wird dann eine Untersuchung des dynamischen Systems der linearen Feld- und Metrikstörungen im üblichen Inflationsmodell mit Blick auf Uneindeutigkeit der Quantisierung durchgeführt. Zuletzt werden die Temperaturfluktuationen der kosmischen Hintergrundstrahlung auf Kompatibilität mit lokalem thermalem Gleichgewicht überprüft.:1. Introduction 5 2. Technical Background 10 2.1. The Free Scalar Field on a Globally Hyperbolic Spacetime . . . . . . 10 2.1.1. Construction of the Scalar Field . . . . . . . . . . . . . . . . . 10 2.1.2. Algebra of Wick Products . . . . . . . . . . . . . . . . . . . . 13 2.1.3. Local Covariance Principle . . . . . . . . . . . . . . . . . . . . 17 2.2. Local Thermal Equilibirum . . . . . . . . . . . . . . . . . . . . . . . 21 2.2.1. Global Thermodynamic Equilibrium - KMS States . . . . . . 21 2.2.2. Local Thermal Observables . . . . . . . . . . . . . . . . . . . 24 2.2.3. LTE on Flat Spacetime . . . . . . . . . . . . . . . . . . . . . . 29 2.2.4. LTE in Cosmological Spacetimes . . . . . . . . . . . . . . . . 32 2.3. Linear Scalar Cosmological Perturbations . . . . . . . . . . . . . . . . 34 2.3.1. Robertson-Walker Cosmology . . . . . . . . . . . . . . . . . . 35 2.3.2. Mathematical Background . . . . . . . . . . . . . . . . . . . . 38 2.3.3. Technical Framework and Formulae . . . . . . . . . . . . . . . 40 2.3.4. The Boltzmann Equation . . . . . . . . . . . . . . . . . . . . 46 2.3.5. The Sachs-Wolfe Effect for Adiabatic Perturbations . . . . . . 49 3. Towards a Refinement of the LTE Condition on Curved Spacetimes 54 3.1. Non-Minimal Coupling . . . . . . . . . . . . . . . . . . . . . . . . . . 54 3.1.1. Commutator Distribution . . . . . . . . . . . . . . . . . . . . 55 3.1.2. KMS Two-Point Function . . . . . . . . . . . . . . . . . . . . 57 3.1.3. Balanced Derivatives . . . . . . . . . . . . . . . . . . . . . . . 61 3.2. Conformally Static Spacetimes . . . . . . . . . . . . . . . . . . . . . . 65 3.2.1. Conformal KMS States . . . . . . . . . . . . . . . . . . . . . . 66 3.2.2. Extrinsic LTE in de Sitter Spacetime . . . . . . . . . . . . . . 71 3.3. Massive Fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 3.3.1. Properties of the Model . . . . . . . . . . . . . . . . . . . . . 78 3.3.2. Bogoliubov Transformation . . . . . . . . . . . . . . . . . . . 80 3.3.3. Thermal Observables . . . . . . . . . . . . . . . . . . . . . . . 82 3.4. Towards an Alternative Concept . . . . . . . . . . . . . . . . . . . . . 91 3.4.1. Problems and Open Questions Concerning LTE . . . . . . . . 92 3.4.2. Dynamic Equations . . . . . . . . . . . . . . . . . . . . . . . . 94 3.4.3. Positivity Inequalities . . . . . . . . . . . . . . . . . . . . . . . 96 3.4.4. Macroobservable Interpretation . . . . . . . . . . . . . . . . . 100 3.5. An Application . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 4. Cosmological Perturbation Theory 105 4.1. Dynamics of Perturbations in Inflation . . . . . . . . . . . . . . . . . 106 4.1.1. CCR Quantisation is Ambiguous . . . . . . . . . . . . . . . . 106 4.1.2. Canonical Symplectic Form . . . . . . . . . . . . . . . . . . . 111 4.1.3. The Algebraic Point of View . . . . . . . . . . . . . . . . . . . 117 4.2. LTE States in Cosmology . . . . . . . . . . . . . . . . . . . . . . . . 120 4.2.1. The Link to Fluid Dynamics . . . . . . . . . . . . . . . . . . . 120 4.2.2. Incompatibility of LTE with Sachs-Wolfe Effect . . . . . . . . 125 5. Conclusion and Outlook 131 A. Technical proofs 136 A.1. Proof of Lemma 3.2.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 A.2. Proof of Lemma 3.2.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . 138 A.3. Proof of Lemma 3.4.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 A.4. Idea of Proof for Conjecture 3.4.3 . . . . . . . . . . . . . . . . . . . . 144 B. Introduction to Probability Theory 146 Bibliography 150 Correction of Lemma 3.1.2 155