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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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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   +2 more
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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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An exact solution for uniformly accelerated particles in general relativity

Zeitschrift f�r Physik, 1964
We present an exact solution of the Einstein empty-space equations referring to four particles in relative motion. The particles move with different uniform accelerations relative to a co-ordinate system which is Minkowskian at infinity, except in certain directions. If positive and negative masses are allowed, the particles can move freely under their
N. S. Swaminarayan, W. B. Bonnor
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New exact solutions for a charged fluid sphere in general relativity

General Relativity and Gravitation, 1986
This paper describes new techniques and results for the problem of the coupled Einstein-Maxwell equations with static spherical charge distributions, which might be a source for the well known exterior Reissner-Nordstrom exact solution. In this paper, the barytropic pressure proportional to density, equation of state is used for the matter.
J. Hajj-Boutros, J. Sfeila
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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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Exact solution for a static charged gas sphere in general relativity

General Relativity and Gravitation, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. K. Gokhroo, A. L. Melira
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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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A new well behaved exact solution in general relativity for perfect fluid [PDF]

open access: possibleAstrophysics and Space Science, 2012
We present a new spherically symmetric solution of the general relativistic field equations in isotropic coordinates. The solution is having positive finite central pressure and positive finite central density. The ratio of pressure and density is less than one and casualty condition is obeyed at the centre.
Neeraj Pant   +2 more
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