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Applications of, and Extensions to, Selected Exact Solutions in General Relativity [PDF]
, 2011 MSc thesis at Victoria University of Wellington; 91 ...
Bethan Cropp
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Inhomogeneities in the Universe with exact solutions of General Relativity [PDF]
AIP Conference Proceedings, 2010 It is commonly stated that we have entered the era of precision cosmology in which a number of important observations have reached a degree of precision, and a level of agreement with theory, that is comparable with many Earth-based physics experiments.
Marie-Nölle Célérier +2 more
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(2,2)-formalism of general relativity: an exact solution [PDF]
Classical and Quantum Gravity, 1999 I discuss the (2,2)-formalism of general relativity based on the (2,2)-fibration of a generic 4-dimensional spacetime of the Lorentzian signature. In this formalism general relativity is describable as a Yang-Mills gauge theory defined on the (1+1)-dimensional base manifold, whose local gauge symmetry is the group of the diffeomorphisms of the 2 ...
J. H. Yoon
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EXACT SOLUTION OF A LINEAR WAVE EQUATION IN COSMOLOGICAL GENERAL RELATIVITY [PDF]
International Journal of Modern Physics D, 2006 A linear second-order wave equation is presented based on cosmological general relativity, which is a space-velocity theory of the expanding universe. The wave equation is shown to be exactly solvable, based on the Gaussian hypergeometric function.
Firmin J. Oliveira
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Some Exact Solutions in General Relativity [PDF]
, 2005 <p dir="ltr"><b>In this thesis four separate problems in general relativity are considered, divided into two separate themes: coordinate conditions and perfect fluid spheres. Regarding coordinate conditions we present a pedagogical discussion of how the appropriate use of coordinate conditions can lead to simplifications in the form of the ...
Petarpa Boonserm
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Exact Solutions for Oscillating Spheres in General Relativity [PDF]
Monthly Notices of the Royal Astronomical Society, 1967 W. B. Bonnor, M. C. Faulkes
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Some exact solutions of certain field equations in general relativity [PDF]
Journal of the Australian Mathematical Society, 1976 SummaryA general metric is considered. Some solutions correspoding to the field equations Rik λgik = −8πEik are obtained as particular cases. Details of these solutions are also discussed. An Einstein space corresponding to the field equations Rik = λ gik is also constructed as a particular case of the general metric.
L. K. Patel
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Elastic stars in general relativity: III. Stiff ultrarigid exact solutions [PDF]
Classical and Quantum Gravity, 2004 We present an equation of state for elastic matter which allows for purely longitudinal elastic waves in all propagation directions, not just principal directions. The speed of these waves is equal to the speed of light whereas the transversal type speeds are also very high, comparable to but always strictly less than that of light.
Max Karlovini, Lars Samuelsson
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Some exact solutions in general relativity
, 2006 In this thesis four separate problems in general relativity are considered, divided into two separate themes: coordinate conditions and perfect fluid spheres. Regarding coordinate conditions we present a pedagogical discussion of how the appropriate use of coordinate conditions can lead to simplifications in the form of the spacetime curvature -- such ...
Petarpa Boonserm
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Exact solutions for differentially rotating galaxies in general relativity [PDF]
A class of stationary axisymmetric solutions of Einstein's equations for isolated differentially rotating dust sources is presented. The low-energy asymptotic regime is extracted, requiring a self-consistent coupling of quasilocal energy and angular momentum. The Raychaudhuri equation reduces to a balance equation, with two important limits.
Marco Galoppo, David L. Wiltshire
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