Spelling suggestions: "subject:"relativity (physics)"" "subject:"oblativity (physics)""
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On a relativistic two-body problemHamilton, John Dwayne January 1967 (has links)
An invariant formalism is developed for a two-body system in a flat spacetime interacting by the exchange of particles of zero proper mass. A solution, to second order, of the equations of motion is obtained. The principle of equivalence is applied to study the motion of a system of particles in a uniform gravitational field. The equations of motion are then generalized to a Riemannian spacetime and the acceleration of non-spinning point-particles in a gravitational field is briefly discussed. / Science, Faculty of / Physics and Astronomy, Department of / Graduate
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Numerical study of non-homogeneous spacetimes using regge calculusPorter, John Davie January 1982 (has links)
No description available.
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The relativistic static charged fluid sphere and viscous fluid cosmological model麥民光, Mak, Man-kwong. January 1998 (has links)
published_or_final_version / Physics / Doctoral / Doctor of Philosophy
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Spacetime conformal fluctuations and quantum dephasingBonifacio, Paolo January 2009 (has links)
We employ a stochastic approach that models spacetime fluctuations close to the Planck scale by means of a classical, randomly fluctuating metric (random gravity framework). We enrich the classical scheme for metric perturbations over a curved background by also including matter fields and metric conformal fluctuations. We show in general that a conformally modulated metric induces dephasing as a result of an effective nonlinear Newtonian potential obtained in the appropriate non-relativistic limit of a minimally coupled Klein-Gordon field. The special case of vacuum fluctuations is considered and a quantitative estimate of the expected effect deduced. Secondly, we address the question of how conformal fluctuations could physically arise. By applying the random gravity framework we first show that standard GR seems to forbid spontaneous conformal metric modulations. Finally we argue that a different result follows within scalar-tensor theories of gravity such as e.g. Brans-Dicke theory. In this case a conformal modulation of the metric arises naturally as a result of the fluctuations in the Brans-Dicke field and quantum dephasing of a test particle is expected to occur. For large negative values of the coupling parameter the conformal fluctuations may also contribute to alleviate the well known problem of the large zero point energy due to quantum matter fields.
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On the uniqueness of ADM mass and Schwarzschild metric.January 2006 (has links)
Chan Kin Hang. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 66-67). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Weighted Sobolev Spaces --- p.3 / Chapter 2.1 --- Weighted Sobolev Spaces --- p.3 / Chapter 2.2 --- Some Basic Properties of Weighted Sobolev Spaces --- p.4 / Chapter 2.3 --- Δon Rn in Weighted Sobolev Spaces --- p.14 / Chapter 2.4 --- Δg on Asymptotically Flat Manifolds --- p.20 / Chapter 3 --- Uniqueness of Structure at Infinity --- p.32 / Chapter 3.1 --- More on Δg --- p.32 / Chapter 3.2 --- Uniqueness of Structure of Infinity --- p.34 / Chapter 4 --- Uniqueness of Mass --- p.40 / Chapter 4.1 --- Definition of Mass --- p.40 / Chapter 4.2 --- Uniqueness of Mass --- p.41 / Chapter 5 --- Schwarzschild Metric and Vacuum Einstein Equation --- p.50 / Chapter 5.1 --- Static Spacetime and Spherically Symmetric Spacetime --- p.50 / Chapter 5.2 --- Schwarzschild Vacuum Solution --- p.57 / Chapter 5.2.1 --- Equation Solving --- p.57 / Chapter 5.3 --- Birkhoff's Theorem --- p.59 / Chapter 5.4 --- Asymptotically Flat Properties of Space with Schwarzschild Metric --- p.61 / Chapter 5.5 --- Mass of The Space Induced by Schwarzschild Metric --- p.64 / Bibliography --- p.66
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Gravitational waves from the phase-transition-induced collapse of neutron stars using 2-dimensional general relativistic codeYu, Hoi-fung., 余海峰. January 2011 (has links)
published_or_final_version / Physics / Master / Master of Philosophy
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Relativity via a Bergmannian Chronometric in a squared-dimensional hyperspaceHoneycutt, David Carl 08 1900 (has links)
No description available.
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Realistic charged stellar modelsKomathiraj, Kalikkuddy. January 2007 (has links)
In this thesis we seek exact solutions to the isotropic Einstien-Maxwell system that model the interior of relativistic stars. The field equations are transformed to a simpler form using the transformation of Durgapal and Bannerji (1983); the integration of the system is reduced to solving the condition of pressure isotropy. This condition is a recurrence relation with variable rational coe±cients which can be solved in general. New classes of solutions of linearly independent functions are obtained in terms of special functions and elementary functions for different spatial geometries. Our results contain models found previously including the superdense Tikekar (1990) neutron star model, the uncharged isotropic Maharaj and Leach (1996) solutions, the Finch and Skea (1989) model and the Durgapal and Bannerji (1983) superdense neutron star. Our general class of solutions also contain charged relativistic spheres found previously, including the model of Hansraj and Maharaj (2006) and the model of Thirukkanesh and Maharaj (2006). In addition, two exact analytical solutions describing the interior of a charged strange quark star are obtained by applying the MIT bag equation of state. We regain the Mak and Harko (2004) solution for a charged quark star as a special case. / Thesis (Ph. D.) University of KwaZulu-Natal, Westville, 2007.
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Conformal symmetries : solutions in two classes of cosmological models.Moodley, Manikam. January 1991 (has links)
In this thesis we study the conformal symmetries in two locally rotationally symmetric
spacetimes and the homothetic symmetries of a Bianchi I spacetime. The
conformal Killing equation in a class AIa spacetime (MacCallum 1980), with a G4
of motions, is integrated to obtain the general solution subject to integrability conditions.
These conditions are comprehensively analysed to determine the restrictions
on the metric functions. The Killing vectors are contained in the general conformal
solution. The homothetic vector is obtained and the explicit functional dependence
of the metric functions determined. The class AIa spacetime does not admit a nontrivial
special conformal factor. We also integrate the conformal Killing equation
in the anisotropic locally rotationally symmetric spacetime of class A3 (MacCallum
1980), with a G4 of motions, to obtain the general conformal Killing vector and the
conformal factor subject to integrability conditions. The Killing vectors are obtained
as a special case from the general conformal solution. The homothetic vector is found
for a nonzero constant conformal factor. The explicit functional form of the metric
functions is determined for the existence of this homothetic vector. The spatially
homogeneous and anisotropic A3 spacetime also does not admit a nontrivial special
conformal vector. In the Bianchi I spacetime, with a G3 of motions, the conformal
Killing equation is integrated for a constant conformal factor to generate the homothetic
symmetries. The integrability conditions are solved to determine the functional
dependence of the three time-dependent metric functions. / Thesis (M.Sc.)-University of Natal, Durban, 1991.
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Inhomogeneous solutions to the Einstein equations.Govender, Gabriel. January 2007 (has links)
In this dissertation we consider spherically symmetric gravitational fields that arise in relativistic astrophysics and cosmology. We first present a general review of static spherically symmetric spacetimes. aand highlight a particular class of exact solutions of the Einstein-Maxwell system for charged spheres. In the case of shear-free spacetimes with heat flow, the integration of the system is reduced to solving the condition of pressure isotropy. This condition is a second order linear differential equation with variable coefficients. By choosing particular forms for the gravitational potentials, sev-eral classes of new solutions are generated. We regain known solutions corresponding to coniformal flatness when tidal forces are absent. We also consider expanding, accelerating and shearing models when the heat flux is not present. A new general class of models is found. This new class of shearing solutions contains the model of Maharaj et al (1993) when a parameter is set to zero. Our new solution does not contain a singularity at the stellar centre, and it is therefore useful in modelling the interior of stars. Finally, we demonstrate that the shearing models obtained by Markund and Bradley (1999) do not satisfy the Einstein field equations. / Thesis (M.Sc.)-University of KwaZulu-Natal, Durban, 2007.
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