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Exact solution of general-relativity equations for vibratory collapse

Soviet Physics Journal, 1977
In our previous article (cited as [A]) general requirements were formulated for the solutions of the general-relativity equations that follow from the geometry in the large and from the requirement that the origin be physically realizable [1]. In this article an exact self-consistent equation is described that takes full account of these requirements ...
M. E. Gertsenshteǐn
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A class of exact solutions of certain classical field equations in general relativity

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1962
This paper deals with certain model statical universes representing exact solutions of some field equations in general relativity. Three universes of this type are discussed. They correspond to combinations of gravitation respectively with (i) electromagnetic field, (ii) scalar or pseudo-scalar field, (iii) Maxwell-Dirac field.
A. Das
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Some exact anisotropic solutions in general relativity

Canadian Journal of Physics, 1984
Some exact solutions for anisotropic matter are worked out in the framework of general relativity. Four such solutions are obtained by a suitable modification of four well-known solutions by Tolman, viz., Tolman's solutions III, IV, V, and VI. The degree of anisotropy is determined by a parameter, and the range of values this parameter will have under
Ranjumani Devi, K. D. Krori, P. Borgohain   +2 more
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Inhomogeneous Cosmology with Exact Solutions of General Relativity

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-Noëlle Célérier, Alfredo Macias, Marco Maceda   +2 more
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Exact solutions of the Bach field equations of general relativity

Reports on Mathematical Physics, 1980
Abstract Conformally invariant gravitational field equations on the hand and fourth order field equations on the other were discussed in the early history of general relativity (Weyl Einstein, Bach et al.) and have recently gained some new interest (Deser, P. Gunther, Treder, et al.). The equations Bαβ=0 or Bαβ=ϰTαβ, where Bαβ denotes the Bach tensor
B. Fiedler, R. Schimming
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An exact solution for a dielectric atmosphere in general relativity

Journal of Mathematical Physics, 1993
The Einstein–Maxwell equations are solved for a dielectric perfect fluid atmosphere surrounding a static charged spherically symmetric body. Energy conditions are applied to ensure that the solution is physically reasonable.
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A class of new exact solutions in general relativity

Journal of Physics A: Mathematical and General, 1982
A class of new exact solutions is obtained for spherically symmetric and static configurations by considering a simple relation enu varies as (1+x)n. For each integral value of n the field equations can be solved exactly and one gets a new exact solution.
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Space-time in general relativity : exact solutions and perturbations

2021
This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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Potential flows in general relativity: Some exact solutions

Physical Review D, 1989
We present analytic solutions for the steady-state, subsonic flow of gas around various relativistic obstacles. The gas obeys a /ital P/=/rho/ adiabatic equation of state and the flow velocity can be arbitrarily close to the speed of light. The obstacles include spheres, shells, cylinders, wedges, and black holes.
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