Dissertationen zum Thema „Cosmology Mathematical models“
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Hervik, Sigbjørn. „Mathematical cosmology : Bianchi models, asymptotics and extra dimensions“. Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.616093.
Der volle Inhalt der QuelleCampbell, Robert Alan. „Inhomogeneous conformal cosmological models /“. Title page, contents and summary only, 1985. http://web4.library.adelaide.edu.au/theses/09PH/09phc1888.pdf.
Der volle Inhalt der QuelleDechant, Pierre-Philippe. „Models of the early universe“. Thesis, University of Cambridge, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609618.
Der volle Inhalt der QuelleNg, Shao-Chin Cindy. „Cosmological models with quintessence : dynamical properties and observational constraints“. Title page, table of contents and abstract only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phn5758.pdf.
Der volle Inhalt der QuelleLuo, Xianghui 1983. „Symmetries of Cauchy Horizons and Global Stability of Cosmological Models“. Thesis, University of Oregon, 2011. http://hdl.handle.net/1794/11543.
Der volle Inhalt der QuelleThis 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 This dissertation includes unpublished co-authored material.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
Foster, Scott. „Singularity structure of scalar field cosmologies /“. Title page, contents and abstract only, 1996. http://web4.library.adelaide.edu.au/theses/09PH/09phf757.pdf.
Der volle Inhalt der QuelleHowell, 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.
Der volle Inhalt der QuelleOsano, Bob Otieno. „Beyond the standard model of cosmology : a perturbative approach“. Doctoral thesis, University of Cape Town, 2007. http://hdl.handle.net/11427/4918.
Der volle Inhalt der QuelleIncludes bibliographical references (p. 171-185).
This thesis concerns higher order perturbations of the standard model of cosmology. The theme is addressed in two distinct research areas. The first area deals with linear perturbations of Bianchi type I model filled with dust whose flow is irrotational, and which is an analogue to second order perturbations about the standard model. We investigate both density perturbations and gravitational waves in the shear dominated and the matter dominated regimes. We find that whereas the analysis of the perturbations in the matter dominated regime recovers the standard FLRW results, the analysis of perturbations in the shear dominated regime reveals that density perturbations and gravitational waves decouple only when the background shear is locally rotational symmetric.
Delbem, Nilton Flávio [UNESP]. „Introdução matemática aos modelos cosmológicos“. Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/94340.
Der volle Inhalt der QuelleUniversidade Estadual Paulista (UNESP)
Esta dissertação tem a proposta de organizar, discutir e apresentar de maneira precisa os conceitos matemáticos de variedade diferenciável e de tensores envolvidos no estudo da Cosmologia sob o ponto de vista da Teoria da Relatividade Geral para o modelo de Friedmann-Lemaître-Robertson-Walker. Busca-se assim apresentar um texto didático que possa ser utilizado tanto nos cursos de graduação em Matemática como de Física para uma disciplina optativa de Introdução Matemática à Cosmologia
The goal of this dissertation is to organize and discuss in a rigorous way the mathematical concepts of manifolds and tensors needed to the study of Cosmology and the Friedmann-Lemaître-Robertson-Walker model under the point of view of the General Relativity. In this way, this dissertation was written as textbook that could be used in an undergraduate course of Physics and Mathematics
Delbem, Nilton Flávio. „Introdução matemática aos modelos cosmológicos /“. Rio Claro : [s.n.], 2010. http://hdl.handle.net/11449/94340.
Der volle Inhalt der QuelleBanca: Manoel Borges Ferreira Neto
Banca: Henrique Lazari
Resumo: Esta dissertação tem a proposta de organizar, discutir e apresentar de maneira precisa os conceitos matemáticos de variedade diferenciável e de tensores envolvidos no estudo da Cosmologia sob o ponto de vista da Teoria da Relatividade Geral para o modelo de Friedmann-Lemaître-Robertson-Walker. Busca-se assim apresentar um texto didático que possa ser utilizado tanto nos cursos de graduação em Matemática como de Física para uma disciplina optativa de Introdução Matemática à Cosmologia
Abstract: The goal of this dissertation is to organize and discuss in a rigorous way the mathematical concepts of manifolds and tensors needed to the study of Cosmology and the Friedmann-Lemaître-Robertson-Walker model under the point of view of the General Relativity. In this way, this dissertation was written as textbook that could be used in an undergraduate course of Physics and Mathematics
Mestre
Gebbie, Timothy John. „Fluid and gas models in FLRW and almost FLRW universes“. Master's thesis, University of Cape Town, 1996. http://hdl.handle.net/11427/17936.
Der volle Inhalt der QuelleRecently the universe has been modeled in the covariant sense, in terms of fluid models and perturbations thereof, leading to Gauge Invariant Covariant (GIC) perturbations of these fluid models. It is well known that kinetic theory provides a physically sound and consistent description of the matter and radiation in the universe, so a perturbative theory of gas models using kinetic theory would be most helpful. This has been done to a large degree in the Gauge Invariant (GI) Bardeen approach to perturbation theory by studies of gases based on the relativistic Boltzmann equation. These treatments, however, were not fully covariant. The GI Bardeen approach is dependent on a co-ordinate choice, while in the full GIC perturbation theory full covariance is maintained along with gauge invariance by describing the theory in a particular set of perturbation variables that differ from the Bardeen choice but can be related to the Bardeen variables. The covariant formulation of the relativistic Boltzmann equation in terms of variables that are of use in the GIC theory for gases has been well described. In this thesis, I provide both a good introduction to the full GIC perturbation theory of a photon gas and matter fluid system in the linear theory as well as a solid grounding with respect to the exact FLRW fluid model upon which most of the original ideas and concepts of modern cosmology are based. The introduction to the exact FLRW model is done in the sense of the dynamical systems approach to cosmology which provides the easiest access to understanding the evolution of single and multi-fluid FLRW models.
Mustapha, Nazeem. „Aspects of a spherically symmetric model of the post-decoupling universe“. Master's thesis, University of Cape Town, 1997. http://hdl.handle.net/11427/17524.
Der volle Inhalt der QuelleThe central aim of this thesis is to consider aspects of the spherically symmetric Lemaitre-Tolman-Bondi (LTB) solution as a model of the post-decoupling universe. To do this comprehensively is a massive task and is not our aim here. Indeed, far from it, we will concentrate on select instances of this programme and attempt in some places to indicate possibilities for further study. There are many solutions of the EFE which satisfy what we consider to be 'reasonable criteria' for a cosmology and others that do not. The LTB solution may be accepted as a reasonable cosmological model because ■ It allows non-empty solutions. ■ It allows expanding solutions. ■ It has a homogeneous and isotropic limit. ■ It allows for inhomogeneity.
Fay, Stéphane. „Cosmologies spatialement homogènes en théories tenseur-scalaires“. Phd thesis, Université Paris-Diderot - Paris VII, 2004. http://tel.archives-ouvertes.fr/tel-00008063.
Der volle Inhalt der QuelleHolgersson, David. „Lanczos potentialer i kosmologiska rumtider“. Thesis, Linköping University, Department of Mathematics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-2582.
Der volle Inhalt der QuelleWe derive the equation linking the Weyl tensor with its Lanczos potential, called the Weyl-Lanczos equation, in 1+3 covariant formalism for perfect fluid Bianchi type I spacetime and find an explicit expression for a Lanczos potential of the Weyl tensor in these spacetimes. To achieve this, we first need to derive the covariant decomposition of the Lanczos potential in this formalism. We also study an example by Novello and Velloso and derive their Lanczos potential in shear-free, irrotational perfect fluid spacetimes from a particular ansatz in 1+3 covariant formalism. The existence of the Lanczos potential is in some ways analogous to the vector potential in electromagnetic theory. Therefore, we also derive the electromagnetic potential equation in 1+3 covariant formalism for a general spacetime. We give a short description of the necessary tools for these calculations and the cosmological formalism we are using.
Rainsford, Tamath Jane. „Newtonian and post-Newtonian cosmology / Tamath Rainsford“. 2000. http://hdl.handle.net/2440/19818.
Der volle Inhalt der Quellexiii, 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.
Der volle Inhalt der Quellexiii, 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
Kgathi, Matome Abiel. „Cosmologies with causal bulk viscosity“. Thesis, 1996. https://hdl.handle.net/10539/26146.
Der volle Inhalt der QuelleIn this thesis we investigate the evolution of viscous FRW cosmological models for two different constitutive equations for the bulk viscous pressure a, namely (Abbreviation abstract)
Andrew Chakane 2018
Ng, Shao-Chin Cindy. „Cosmological models with quintessence : dynamical properties and observational constraints / Shao-Chin Cindy Ng“. Thesis, 2001. http://hdl.handle.net/2440/21740.
Der volle Inhalt der Quellev, 107 leaves : ill. ; 30 cm.
Studies different models of "quintessence", in particular, a quintessence arising from an ultra-light pseudo Nambu-Goldstone boson. Overviews dynamical properties for these models using phase-space analyses to study attractor and tracker solutions. Studies high-redshift type Ia supernovae constraints on these models. Studies the impact of a simple phenomenological model for supernovae luminosity evolution on the PNGB models and the potentials of a future supernovae data set to discriminate the PNGB models over the other quintessence models. Studies gravitational lensing statistics of high luminosity quasars upon the quintessence models.
Thesis (Ph.D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 2001
Foster, Scott. „Singularity structure of scalar field cosmologies / Scott Foster“. Thesis, 1996. http://hdl.handle.net/2440/18744.
Der volle Inhalt der QuelleBibliography: p. 173-177.
x, 177 p. : ill. ; 30 cm.
The classical dynamical structure of cosomological models in which the matter content of the universe consists of a scalar field with arbitrary non-negative potential is analyzed in full. (abstract)
Thesis (Ph.D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 1996?
Okabe, Takahide. „Spatially-homogeneous Vlasov-Einstein dynamics“. 2008. http://hdl.handle.net/2152/18198.
Der volle Inhalt der Quelletext
Ericksson, Geoffery Brian. „The isotropic singularity in cosmological models“. Phd thesis, 2002. http://hdl.handle.net/1885/148635.
Der volle Inhalt der QuelleMoodley, Darell. „Bayesian analysis of cosmological models“. Thesis, 2010. http://hdl.handle.net/10413/5865.
Der volle Inhalt der QuelleThesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2010.
Naidoo, Ramsamy. „Cosmological models and the deceleration parameter“. Thesis, 1992. http://hdl.handle.net/10413/5819.
Der volle Inhalt der QuelleThesis (M.Sc.)-University of Natal, 1992.
Moodley, Kavilan. „Aspects of spherically symmetric cosmological models“. Thesis, 1998. http://hdl.handle.net/10413/3909.
Der volle Inhalt der QuelleThesis (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.
Der volle Inhalt der QuelleEn 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.