Relevant bibliographies by topics / Post Newtoniano

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Post Newtoniano'

Author: Grafiati
Published: 9 March 2023
Last updated: 10 March 2023

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Journal articles on the topic "Post Newtoniano"

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De Laurentis, Mariafelicia, and Antonio Jesus Lopez-Revelles. "Newtonian, Post-Newtonian and Parametrized Post-Newtonian limits of f(R, 𝒢) gravity." International Journal of Geometric Methods in Modern Physics 11, no. 10 (November 2014): 1450082. http://dx.doi.org/10.1142/s0219887814500820.

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We discuss in detail the weak field limit of f(R, 𝒢) gravity taking into account analytic functions of the Ricci scalar R and the Gauss–Bonnet invariant 𝒢. Specifically, we develop, in metric formalism, the Newtonian, Post-Newtonian (PN) and Parametrized Post-Newtonian (PPN) limits starting from general f(R, 𝒢) Lagrangian. The special cases of f(R) and f(𝒢) gravities are considered. In the case of the Newtonian limit of f(R, 𝒢) gravity, a general solution in terms of Green's functions is achieved.
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Nazari, Elham, and Mahmood Roshan. "Post-Newtonian Magnetohydrodynamics." Astrophysical Journal 868, no. 2 (November 27, 2018): 98. http://dx.doi.org/10.3847/1538-4357/aaeb25.

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Szekeres, Peter, and Tamath Rainsford. "Post-Newtonian Cosmology." General Relativity and Gravitation 32, no. 3 (March 2000): 479–90. http://dx.doi.org/10.1023/a:1001976317159.

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Pascual-Sánchez, J. F., A. San Miguel, and F. Vicente. "Relativistic versus Newtonian Frames." Positioning 04, no. 01 (2013): 109–14. http://dx.doi.org/10.4236/pos.2013.41011.

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Kremer, Gilberto M. "Post-Newtonian kinetic theory." Annals of Physics 426 (March 2021): 168400. http://dx.doi.org/10.1016/j.aop.2021.168400.

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Sanghai, Viraj A. A., and Timothy Clifton. "Parameterized post-Newtonian cosmology." Classical and Quantum Gravity 34, no. 6 (February 22, 2017): 065003. http://dx.doi.org/10.1088/1361-6382/aa5d75.

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Asfour, Amal. "Hogarth's Post-Newtonian Universe." Journal of the History of Ideas 60, no. 4 (1999): 693–716. http://dx.doi.org/10.1353/jhi.1999.0032.

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Nazari, Elham, Ali Kazemi, Mahmood Roshan, and Shahram Abbassi. "Post-Newtonian Jeans Analysis." Astrophysical Journal 839, no. 2 (April 17, 2017): 75. http://dx.doi.org/10.3847/1538-4357/aa68e0.

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Blanchet, L., T. Damour, and G. Schaefer. "Post-Newtonian hydrodynamics and post-Newtonian gravitational wave generation for numerical relativity." Monthly Notices of the Royal Astronomical Society 242, no. 3 (June 1, 1990): 289–305. http://dx.doi.org/10.1093/mnras/242.3.289.

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Szekeres, Peter. "Newtonian and Post-Newtonian Limits of Relativistic Cosmology." General Relativity and Gravitation 32, no. 6 (June 2000): 1025–39. http://dx.doi.org/10.1023/a:1001965526092.

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Dissertations / Theses on the topic "Post Newtoniano"

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MESSINA, FRANCESCO. "IMPROVING THE EOB TOOLBOX FOR GRAVITATIONAL WAVE DATA ANALYSIS." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2021. http://hdl.handle.net/10281/299793.

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La stima dei parametri fisici degli eventi di onde gravitazionali rilevati da LIGO e Virgo si basa su modelli di forme d'onda analitiche, eventualmente calibrati da simulazioni di Relatività Numerica. Il modello EOB (Effective-One-Body) è uno dei principali modelli analitici per l’analisi dei segnali gravitazionali emessi da buchi neri e stelle di neutroni. La qui presente tesi, a grandi linee, è un lavoro di “potenziamento” di questo modello, e in particolare I) lo miglioriamo nei suoi vari settori, con l'obiettivo finale di costruire un modello che includa tutte le informazioni fisiche disponibili: in particolare, quelle riguardanti i multipoli subdominanti, utili per ottimizzare la risoluzione angolare dell'analisi dati degli esperimenti di onde gravitazionali [ 1, 4, 5, 7]; II) usarlo per sviluppare approssimanti Post-Newtoniani veloci, di ordine elevato, molto utili per le analisi bayesiane inerenti le pipeline LIGO e Virgo [3]; III) utilizzarlo per studiare, nel caso delle stelle binarie di neutroni, l’influenza degli effetti di self-spin sulla loro forma d'onda [2]. Uno degli elementi costitutivi centrali del modello EOB è la forma d'onda multipolare Post-Newtoniana (PN) fattorizzata e circolarizzata introdotta in [8] per binarie senza spin. In[4], estendiamo fino a l= 6 (cioè a multipoli alti) l'approccio di Nagar e Shah [9], poiché ha un accordo con la relatività numerica (utilizzata come punto di riferimento per la calibrazione) migliore del suo precursore [8]. In [4], questo approccio è stato aggiornato al caso di una particella rotante intorno ad un buco nero di Schwartzschild. Lo stesso approccio è stato altresì adattato in [5] al fine di aggiornare il modello EOB quadrupolare TEOBResumS, un codice C ++ [1] disponibile nella LIGO Advanced Library (LAL) e citato nel catalogo [10], a una sua naturale versione multipolare [7]. Fatto salvo ciò, mediante la tecnica di espansione EOB-PN definita in [11], il lavoro svolto in [3] conduce a un approssimante fenomenologico di ordine 5.5PN veloce e preciso che, includendo più informazioni sulle correzioni test-particle rispetto a quello standard a 3.5PN, ottimizza la stima dei parametri di marea dell'analisi dei dati BNS. Nel lavoro [2], incorporiamo in TEOBResumS i termini di self-spin dipendenti dall’equazione di stato (EOS) all'ordine next-to-next-to-leading (NNLO), insieme ad altri effetti (bilineari, cubici e quartici) al leading-order (LO). Qui, con la stessa cassetta degli attrezzi usata in[3], studiamo la dipendenza degli effetti di self spin legati all’EOS, e dimostriamo che le correzioni di ordine NLO e NNLO, a livello di interazione monopolo-quadrupolo, producono effetti di accelerazione di fase più marcati rispetto al corrispondente contributo LO; oltre a questo, si osserva altresì che una volta inclusi gli effetti di auto spin al NLO (3PN) nel Taylor F2, essi sono più attrattivi rispetto a quanto previsto dalla corrispondente descrizione EOB. Infine, abbiamo ottenuto un approssimante TaylorF2 che fornisce una rappresentazione analiticamente semplificata, ma fedele all'EOB, degli effetti di self-spin (effetti di coda inclusi) che può essere utile per migliorare gli attuali modelli di forma d'onda PN (o fenomenologici) per l’inspiralling di stelle di neutroni. Referenze: References: [1] Phys. Rev., D98(10):104052, 2018. [2] Phys. Rev., D99:044007, 2019. [3] Phys. Rev., D99:124051, 2019. [4] Phys. Rev., D97(8): 084016, 2018. [5] Phys. Rev., D100(10):104056, 2019. [6] Phys. Rev., D99(4):044051, 2019. [7] Phys. Rev. D 102, 024077 (2020) [8]Phys. Rev., D79:064004, 2009. [9] Phys. Rev., D94(10):104017, 2016. [10] Phys. Rev. X 9, 031040 [11] Phys. Rev., D95(12):124001, 2017.
The parameter estimation of gravitational wave events detected by LIGO and Virgo relies on analytical waveforms models, possibly calibrated (or informed) by Numerical Relativity simulations. The effective-one-body (EOB) model is one of the main analytical models available that can be efficiently used for analyzing both black hole and neutron star binaries. In this script we I) improve it in its various sectors, with the final aim to build a model that includes all the physical information available: in particular, the higher subdominant multipoles information, that is useful to optimize GW data analysis’ angular resolution [1, 4, 5, 7]; II) use it to develop high-order fast PN approximants for Bayesian analysis in LIGO and Virgo pipelines [3]; III) use it to study the self-spin effects of binary Neutron Stars on their own waveform [2]. One of the central building blocks of the EOB model is the factorized and resummed (circularized) multipolar post-Newtonian (PN) waveform introduced in Ref. [8] for nonspinning binaries. In Ref. [4], we extend up to ` = 6 (i.e. to high multipoles) the resummation approach of Nagar and Shah [9], since it has a better analytical/numerical relativity agreement than its precursor [8]. Ref. [4], updated to the case of a spinning particle of Schwartzschild problem in Ref. [5], has been used in order to update the spin-aligned, quadrupolar EOB model TEOBResumS, a C++ code [1] available in the LIGO Advanced Library (LAL) and cited in the GW catalogue [10], to a multipolar version [7]. Therefore, following the EOB-PN expansion technique defined in [11], Ref. [3] leads to a fast and accurate 5.5PN phenomenological approximant that, by including more point-mass information than the standard 3.5PN one, optimizes the tidal-parameter estimation of BNS data analysis. In Ref [2], we incorporate the EOS-dependent selfspin terms in TEOBResumS at next-to-next-to-leading (NNLO) order, together with other (bilinear, cubic and quartic) nonlinear-in-spin effects (at leading order, LO). Here, with the same toolbox used in Ref. [3], we study the EOS dependence of the self-spin effects and show that the next-to-leading order (NLO) and NNLO monopole-quadrupole corrections yield increasingly phase-accelerating effects compared to the corresponding LO contribution; that the standard TaylorF2 post-Newtonian (PN) treatment of NLO (3PN) EOS-dependent self-spin effects makes their action stronger than the corresponding EOB description; and, finally, we obtain a tail-augmented TaylorF2 approximant that yields an analytically simplified, EOB-faithful, representation of the EOS-dependent self-spin phasing that can be useful to improve current PN-based (or phenomenological) waveform models for inspiralling neutron star binaries. References: [1] Phys. Rev., D98(10):104052, 2018. [2] Phys. Rev., D99:044007, 2019. [3] Phys. Rev., D99:124051, 2019. [4] Phys. Rev., D97(8): 084016, 2018. [5] Phys. Rev., D100(10):104056, 2019. [6] Phys. Rev., D99(4):044051, 2019. [7] Phys. Rev. D 102, 024077 (2020) [8]Phys. Rev., D79:064004, 2009. [9] Phys. Rev., D94(10):104017, 2016. [10] Phys. Rev. X 9, 031040 [11] Phys. Rev., D95(12):124001, 2017.
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Sanghai, Viraj A. A. "Post-Newtonian gravity in cosmology." Thesis, Queen Mary, University of London, 2017. http://qmro.qmul.ac.uk/xmlui/handle/123456789/25942.

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The post-Newtonian (PN) perturbative framework has been successful in understanding the slow-motion, weak fi eld limit of Einstein's theory of gravity on solar system scales, and for isolated astrophysical systems. The parameterized post-Newtonian (PPN) formalism extended the PN framework to put very tight constraints on deviations from Einstein's theory on the aforementioned scales and systems. In this work, we extended and applied the post-Newtonian formalism to cosmological scales. We fi rst used it to construct a cosmological model to understand the effect of regularly arranged point sources on the background expansion. Here we found that at higher orders we obtained a small radiation-like correction to the standard Friedmann-Lemaitre-Robertson-Walker (FLRW) equations, for a matter-dominated universe. This radiation-like correction was purely due to the inhomogeneity of our model, and the non-linearity of Einstein's eld equations. We also extended the post-Newtonian formalism to include other forms of matter that are cosmologically relevant, such as radiation and a cosmological constant, and studied the non-linear effects they might have on the background expansion. Then we constructed an extension of the parameterized post-Newtonian formalism (PPN) to cosmological scales. We used it to parameterize the background expansion of the universe as well as rst-order perturbations in cosmology, using four functions of time. In the future, this could allow us to put constraints on deviations from Einstein's theory of gravity on cosmological scales. We gave examples of how our parameterization would work for dark energy models and scalar-tensor and vector-tensor theories of gravity. In the nal part of this work, we studied how light propagation behaves in an inhomogeneous post-Newtonian cosmology with matter and a cosmological constant. We used it to understand the effect that inhomogeneities would have on observables such as angular diameter distances as compared to those that are expected from a homogeneous and isotropic FLRW universe.
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Johnstone, Alexander C. "Placing a bound on the post-Newtonian parameter [alpha]₂." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81345.

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A method for obtaining a smaller bound for the post-Newtonian parameter alpha 2 is outlined. alpha2 is a parameter in the post-Newtonian formalism associated with violation of Lorentz invariance. The current bound found by Nordvedt, alpha2 < 1.2 x 10 -7, was obtained using solar system data. We show that, by analysing millisecond pulsar profiles and limiting the amount of secular evolution, a smaller bound can be obtained.
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Villa, E. "POST-NEWTONIAN COSMOLOGY IN THE EULERIAN AND LAGRANGIAN FRAMES." Doctoral thesis, Università degli Studi di Milano, 2014. http://hdl.handle.net/2434/238757.

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This thesis is devoted to the post-Newtonian (PN) approximation of General Relativity in Cosmology. We analysed the procedure for passing from GR to Newtonian theory in both the Eulerian and the Lagrangian approaches to gravitational dynamics and also the connection between the two. In the GR framework we provided the transformation equations from the Poisson gauge to the synchronous and comoving gauge for the metric in the Newtonian approximation, being completely non-linear in the standard perturbation theory. We fully recovered equations and solution for the metric both in the relativistic perturbation theory up to second order and in the Newtonian limit at any order. We then extend our transformation to the PN approximation and our results are consistent with GR up to second order in perturbation theory.  We specialise the PN Lagrangian dynamics to globally plane-parallel configurations. We obtained the analytical solution of the Einstein field equations. The solution is non-perturbative in the standard sense, exact up to PN order and extends the Zel’dovich approximation which, in turn, is exact for non-linear plane-parallel dynamics in Newtonian gravity. An application of our solution in the context of the back-reaction proposal is eventually given, providing a PN estimation of kinematical back-reaction, mean spatial curvature, average scale-factor and expansion rate.
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BRECCIONE, MATTUCCI ALESSANDRO. "Post-Newtonian approximation in higher-order metric theories of gravity." Doctoral thesis, Università degli Studi dell'Aquila, 2021. http://hdl.handle.net/11697/170004.

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The Post-Newtonian limit of a fourth-order metric theory of gravity is discussed, based on the most general quadratic Lagrangian. This approach involves the use of the perturbation expansion of the metric tensor, extended up to the fourth-order and expressed in terms of three gravitational potentials. The analysis concerns the search and the resolution, where possible, of systems of coupled fourth-order differential equations, obtained by varying the conditions placed on the coupling constants appearing in the Lagrangian. The solutions are computed using the Green’s function method. Finally, the gravitational potentials thus obtained are compared with the Newtonian one derived in General Relativity in the weak-field and low-veocity limit.
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Marchand, Tanguy. "Studying gravitational waves of compact binary systems using post-Newtonian theory." Thesis, Sorbonne université, 2018. http://www.theses.fr/2018SORUS121/document.

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La détection ainsi que l’analyse des ondes gravitationnelles émises par les systèmes binaires d’objets compacts reposent sur notre capacité à faire des prédictions précises au sein de la théorie de la relativité générale. Dans cette thèse, nous utilisons la théorie post-newtonienne (PN), et en particulier le formalisme connu sous le nom de Blanchet-Damour-Iyer, afin d’étudier de tels systèmes. La finalité des différents calculs réalisés au sein de cette thèse est d’obtenir la phase du signal gravitationnel à l’ordre 4,5PN, et les résultats que nous présentons nous rapprochent fortement de cet objectif. Tout d’abord, nous calculons les sillages d’ondes à l’ordre 3 dans le champ radiatif, ce qui nous permet d’obtenir le coefficient 4,5PN du flux d’énergie émis par des systèmes binaires compacts sans spin dans le cas d’orbites circulaires. Puis, nous calculons la dernière ambiguïté apparaissant dans les équations du mouvement de deux corps compacts sans spin à l’ordre 4PN, ce qui nous permet d’obtenir la première dérivation à partir de principes fondamentaux de ce résultat. Nous étudions alors en détail les différentes quantités conservées générées par cette dynamique. Enfin,nous présentons un premier résultat préliminaire du quadrupôle de masse source à l’ordre 4PN, ce qui constitue l’une des étapes cruciales dans l’obtention de la phase à l’ordre 4.5PN
The detection and the analysis of gravitational waves emitted by compact binary systems rely on our ability to make accurate predictions within general relativity. In this thesis, we use the post-Newtonian (PN) formalism, and in particular the Blanchet-Damour-Iyer framework, to study the dynamics and the emission of gravitational waves of such systems. The different computations that we performed are motivated by our aim to obtain the phase of the gravitational wave signal at the 4.5PN order. In that regard, crucial steps have been achieved within this thesis. First of all, we compute the third-order tail effects in the radiation field, yielding the 4.5PN coefficient of the energy flux for binaries of non-spinning objects in circular orbits. Besides, we determine the remaining ambiguity of the 4PN Lagrangian of two spinless compact bodies. This result completes the first derivation from first principles of the 4PN equations of motion. Then we comprehensively study the conserved quantities of the 4PN dynamics. Finally, we provide a preliminary result of the 4PN source mass quadrupole, which constitutes one of the crucial steps towards the computation of the 4.5PN phase
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Schwartz, Philip Klaus [Verfasser]. "Post-Newtonian Description of Quantum Systems in Gravitational Fields / Philip Klaus Schwartz." Hannover : Gottfried Wilhelm Leibniz Universität Hannover, 2020. http://d-nb.info/1219652210/34.

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Taniguchi, Keisuke. "Ellipsoidal Figures of Equilibrium in the First Post-Newtonian Approximation of General Relativity." 京都大学 (Kyoto University), 1999. http://hdl.handle.net/2433/181944.

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Ohme, Frank. "Bridging the gap between post-Newtonian theory and numerical relativity in gravitational-wave data analysis." Phd thesis, Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6034/.

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One of the most exciting predictions of Einstein's theory of gravitation that have not yet been proven experimentally by a direct detection are gravitational waves. These are tiny distortions of the spacetime itself, and a world-wide effort to directly measure them for the first time with a network of large-scale laser interferometers is currently ongoing and expected to provide positive results within this decade. One potential source of measurable gravitational waves is the inspiral and merger of two compact objects, such as binary black holes. Successfully finding their signature in the noise-dominated data of the detectors crucially relies on accurate predictions of what we are looking for. In this thesis, we present a detailed study of how the most complete waveform templates can be constructed by combining the results from (A) analytical expansions within the post-Newtonian framework and (B) numerical simulations of the full relativistic dynamics. We analyze various strategies to construct complete hybrid waveforms that consist of a post-Newtonian inspiral part matched to numerical-relativity data. We elaborate on exsisting approaches for nonspinning systems by extending the accessible parameter space and introducing an alternative scheme based in the Fourier domain. Our methods can now be readily applied to multiple spherical-harmonic modes and precessing systems. In addition to that, we analyze in detail the accuracy of hybrid waveforms with the goal to quantify how numerous sources of error in the approximation techniques affect the application of such templates in real gravitational-wave searches. This is of major importance for the future construction of improved models, but also for the correct interpretation of gravitational-wave observations that are made utilizing any complete waveform family. In particular, we comprehensively discuss how long the numerical-relativity contribution to the signal has to be in order to make the resulting hybrids accurate enough, and for currently feasible simulation lengths we assess the physics one can potentially do with template-based searches.
Eine der aufregendsten Vorhersagen aus Einsteins Gravitationstheorie, die bisher noch nicht direkt durch ein Experiment nachgewiesen werden konnten, sind Gravitationswellen. Dies sind winzige Verzerrungen der Raumzeit selbst, und es wird erwartet, dass das aktuelle Netzwerk von groß angelegten Laserinterferometern im kommenden Jahrzehnt die erste direkte Gravitationswellenmessung realisieren kann. Eine potentielle Quelle von messbaren Gravitationswellen ist das Einspiralen und Verschmelzen zweier kompakter Objekte, wie z.B. ein Binärsystem von Schwarzen Löchern. Die erfolgreiche Identifizierung ihrer charakteristischen Signatur im Rausch-dominierten Datenstrom der Detektoren hängt allerdings entscheidend von genauen Vorhersagen ab, was wir eigentlich suchen. In dieser Arbeit wird detailliert untersucht, wie die komplettesten Wellenformenmodelle konstruiert werden können, indem die Ergebnisse von (A) analytischen Entwicklungen im post-Newtonschen Verfahren und (B) numerische Simulationen der voll-relativistischen Bewegungen verknüpft werden. Es werden verschiedene Verfahren zur Erstellung solcher "hybriden Wellenformen", bei denen der post-Newtonsche Teil mit numerischen Daten vervollständigt wird, analysiert. Existierende Strategien für nicht-rotierende Systeme werden vertieft und der beschriebene Parameterraum erweitert. Des Weiteren wird eine Alternative im Fourierraum eingeführt. Die entwickelten Methoden können nun auf multiple sphärisch-harmonische Moden und präzedierende Systeme angewandt werden. Zusätzlich wird die Genauigkeit der hybriden Wellenformen mit dem Ziel analysiert, den Einfluss verschiedener Fehlerquellen in den Näherungstechniken zu quantifizieren und die resultierenden Einschränkungen bei realen Anwendungen abzuschätzen. Dies ist von größter Bedeutung für die zukünftige Entwicklung von verbesserten Modellen, aber auch für die korrekte Interpretation von Gravitationswellenbeobachtungen, die auf Grundlage solcher Familien von Wellenformen gemacht worden sind. Insbesondere wird diskutiert, wie lang der numerische Anteil des Signals sein muss, um die Hybride genau genug konstruieren zu können. Für die aktuell umsetzbaren Simulationslängen wird die Physik eingeschätzt, die mit Hilfe von Modell-basierten Suchen potentiell untersucht werden kann.
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Stabile, Antonio. "Constraining models of extended theories of gravity with terrestrial and astrophysical experiments." Doctoral thesis, Universita degli studi di Salerno, 2015. http://hdl.handle.net/10556/1964.

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2013 - 2014
In this Thesis we report a general review of Extended Theories of Gravity and the fundamental aspects of General Relativity. We show the technicality of development of field equation with respect to Newtonian, Post-Newtonian approach and the post-Minkowskian limit. We analyse also the problem of how conformally transformed models behave in the weak field limit approximation. This issue could be extremely relevant in order to select conformally invariant physical quantities. The photon deflection is considered in the framework of the Newtonian Limit of a general class of f (R, Rαβ Rαβ, RαβγδRαβγδ) - Gravity where f is an unspecific function of the Ricci scalar R, Ricci tensor squareRαβ Rαβ and Riemann tensor square RαβγδRαβγδ. Studying in the weak-field approximation - Newtonian and Post-Newtonian limit - the geodesic and Lense-Thirring processions by using the recent experimental results of the Gravity Probe B and LARES satellite and using the damping of the orbital period of coalescing stellar binary systems, we impose constraints on the free parameters of such models of Extended Theories of Gravity. [edited by author]
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Books on the topic "Post Newtoniano"

1

Uphoff, Norman Thomas. Learning from Gal Oya: Possibilities for participatory development and post-Newtonian social science. Ithaca: Cornell University Press, 1992.

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O’Leary, Joseph. General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-80185-4.

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Explorations beyond the machine: A philosophy of social science for the post-Newtonian age. New York: Nova Science Pub., 1994.

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Morçöl, Göktuğ. A new mind for policy analysis: Toward a post-Newtonian and postpositivist epistemology and methodology. Westport, CT: Praeger, 2002.

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Poisson, Eric, and Clifford M. Will. Gravity: Newtonian, Post-Newtonian, Relativistic. Cambridge University Press, 2014.

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Poisson, Eric, and Clifford M. Will. Gravity: Newtonian, Post-Newtonian, Relativistic. imusti, 2014.

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Deruelle, Nathalie, and Jean-Philippe Uzan. The post-Newtonian approximation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0052.

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This chapter embarks on a study of the two-body problem in general relativity. In other words, it seeks to describe the motion of two compact, self-gravitating bodies which are far-separated and moving slowly. It limits the discussion to corrections proportional to v2 ~ m/R, the so-called post-Newtonian or 1PN corrections to Newton’s universal law of attraction. The chapter first examines the gravitational field, that is, the metric, created by the two bodies. It then derives the equations of motion, and finally the actual motion, that is, the post-Keplerian trajectories, which generalize the post-Keplerian geodesics obtained earlier in the chapter.
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Kremer, Gilberto Medeiros. Post-Newtonian Hydrodynamics: Theory and Applications. Cambridge Scholars Publisher, 2022.

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Richards, Joan L. Generations of Reason: A Family's Search for Meaning in Post-Newtonian England. Yale University Press, 2022.

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Kline, Katherine. Playmaker: A New Concept of Leadership in the Post-Newtonian Age, A dissertation. Vidan Press, 1998.

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Book chapters on the topic "Post Newtoniano"

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Verriest, Erik I. "Post-Newtonian Gravitation." In Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 153–64. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30379-6_15.

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Motz, Lloyd, and Jefferson Hane Weaver. "Post-Newtonian Astronomy." In The Story of Astronomy, 143–57. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-6309-3_10.

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Straumann, Norbert. "The Post-Newtonian Approximation." In General Relativity, 307–73. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5410-2_6.

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Straumann, Norbert. "The Post-Newtonian Approximation." In General Relativity, 297–361. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-11827-6_6.

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Motz, Lloyd, and Jefferson Hane Weaver. "The Post-Newtonian Era." In The Story of Physics, 89–103. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4899-6305-5_7.

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Motz, Lloyd, and Jefferson Hane Weaver. "The Post-Newtonian Era." In The Story of Physics, 104–21. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4899-6305-5_8.

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Hohmann, Manuel. "Parametrized Post-Newtonian Formalism." In Modified Gravity and Cosmology, 357–73. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-83715-0_24.

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Blanchet, Luc. "Post-Newtonian Gravitational Radiation." In Einstein’s Field Equations and Their Physical Implications, 225–71. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-46580-4_3.

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O’Leary, Joseph. "Post-Newtonian Satellite Orbits." In General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies, 53–62. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-80185-4_5.

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O’Leary, Joseph. "Post-Newtonian Energy Integrals." In General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies, 35–51. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-80185-4_4.

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Conference papers on the topic "Post Newtoniano"

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Sanghai, Viraj A. A. "Post-Newtonian cosmological models." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0262.

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Blanchet, Luc. "Post-Newtonian Theory and Dimensional Regularization." In ALBERT EINSTEIN CENTURY INTERNATIONAL CONFERENCE. AIP, 2006. http://dx.doi.org/10.1063/1.2399575.

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TEYSSANDIER, PIERRE. "PROPAGATION DIRECTION OF LIGHT IN PARAMETRIZED POST-POST-NEWTONIAN APPROXIMATION." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0265.

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STACHEL, JOHN. "EINSTEIN'S INTUITION AND THE POST-NEWTONIAN APPROXIMATION." In Proceedings of 2002 International Conference. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812772732_0038.

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Graber, James S. "Constraining post-Newtonian parameters with gravitational waves." In RELATIVISTIC ASTROPHYSICS: 20th Texas Symposium. AIP, 2001. http://dx.doi.org/10.1063/1.1419661.

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Pease, Leonard F., Judith Ann Bamberger, Carolyn A. Burns, and Michael J. Minette. "Large Particle Separation From Non-Newtonian Slurries Using Bump Arrays." In ASME 2021 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/fedsm2021-65904.

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Abstract Here we evaluate the performance of bump arrays to separate large particles from non-Newtonian slurries with Bingham and Cross rheology. Bump arrays in deterministic lateral displacement devices separate large particles from small particles using arrays of staggered posts. Large particles, defined as those with radii larger than the distance between the edge of a post and the stagnation streamline from the next downstream post, must bump toward one side of the device, whereas particles smaller than this distance slalom from entrance to exit without net lateral displacement. Although these devices have been used to separate a wide variety of large particles from blood cells to sand, partition of large particles from non-Newtonian fluids remains unexplored. Yet, an important set of modestly concentrated slurries, including Hanford nuclear waste, displays non-Newtonian rheology. Here we evaluate the influence of non-Newtonian rheology on the large-small particle size cutoff in bump arrays using a model that explores the influence of yield stresses, ratios of zero and infinite shear viscosities, and Cross’s exponent under strictly laminar well-developed conditions. Surprisingly, we find that viscosity ratios and Cross’s exponent make no significant difference on the particle cutoffs between large particles that bump and small particles that slalom around the posts from entrance to exit. In contrast, we find that yield stresses do significantly affect the size cutoff. As the yield stress increases, velocity profiles become more plug like lowering the size cutoff. For nuclear waste separations where removing large particles is a priority, increasing yield stresses is conservative.
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Hohmann, M. "Parameterized post-Newtonian limit of Horndeski's gravity theory." In Twelfth Asia-Pacific International Conference on Gravitation, Astrophysics, and Cosmology. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789814759816_0030.

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BLANCHET, LUC. "ON THE ACCURACY OF THE POST-NEWTONIAN APPROXIMATION." In Proceedings of the 25th Johns Hopkins Workshop on Current Problems in Particle Theory. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812791368_0022.

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GERGELY, LÁSZLÓ Á., ZOLTÁN KERESZTES, and BALÁZS MIKÓCZI. "THE SECOND POST-NEWTONIAN ORDER GENERALIZED KEPLER EQUATION." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0445.

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Faber, Joshua A. "Post-Newtonian SPH simulations of binary neutron stars." In RELATIVISTIC ASTROPHYSICS: 20th Texas Symposium. AIP, 2001. http://dx.doi.org/10.1063/1.1419655.

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