A class of conformally flat solutions for a charged sphere in general relativity

1987 ◽  
Vol 28 (11) ◽  
pp. 2697-2699 ◽  
Author(s):  
Wang Xingxiang
Keyword(s):  
General Relativity ◽  
Conformally Flat ◽  
Charged Sphere

A stable charged sphere in general relativity

1967 ◽  
Vol 48 (4) ◽  
pp. 975-981 ◽  
Author(s):  
N. K. Sharma
Keyword(s):  
General Relativity ◽  
Charged Sphere

Exact solution of a static charged sphere in general relativity

1969 ◽  
Vol 47 (21) ◽  
pp. 2401-2404 ◽  
Author(s):  
S. J. Wilson
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Gravitational Constant ◽  
The Self ◽  
Spherically Symmetric ◽  
Charged Sphere ◽  
Field Equations ◽  
First Order ◽  
Self Energy ◽  
Spherically Symmetric Distribution

An exact solution of the field equations of general relativity is obtained for a static, spherically symmetric distribution of charge and mass which can be matched with the Reissner–Nordström metric at the boundary. The self-energy contributions to the total gravitational mass are computed retaining only the first order terms in the gravitational constant.

A solution for a charged sphere in general relativity

1979 ◽  
Vol 11 (5) ◽  
pp. 333-336 ◽  
Author(s):  
A. L. Mehra ◽  
M. L. Bohra
Keyword(s):  
General Relativity ◽  
Charged Sphere

scholarly journals Nonlocal gravity: Conformally flat spacetimes

2016 ◽  
Vol 13 (06) ◽  
pp. 1650081 ◽  
Author(s):  
Donato Bini ◽  
Bahram Mashhoon
Keyword(s):  
General Relativity ◽  
Killing Vector ◽  
Conformally Flat ◽  
Einstein’S Field Equations ◽  
Field Equations ◽  
Nonlocal Field ◽  
Theory Of Gravitation ◽  
Flat Spacetimes ◽  
Conformally Flat Spacetimes ◽  
Insight Into

The field equations of the recent nonlocal generalization of Einstein’s theory of gravitation are presented in a form that is reminiscent of general relativity. The implications of the nonlocal field equations are studied in the case of conformally flat spacetimes. Even in this simple case, the field equations are intractable. Therefore, to gain insight into the nature of these equations, we investigate the structure of nonlocal gravity (NLG) in 2D spacetimes. While any smooth 2D spacetime is conformally flat and satisfies Einstein’s field equations, only a subset containing either a Killing vector or a homothetic Killing vector can satisfy the field equations of NLG.

Conformally flat anisotropic spheres in general relativity

2001 ◽  
Vol 42 (5) ◽  
pp. 2129 ◽  
Author(s):  
L. Herrera ◽  
A. Di Prisco ◽  
J. Ospino ◽  
E. Fuenmayor
Keyword(s):  
General Relativity ◽  
Conformally Flat ◽  
Anisotropic Spheres

scholarly journals Mirror symmetry and conformal flatness in general Relativity

2004 ◽  
Vol 2004 (41) ◽  
pp. 2205-2208
Author(s):  
P. Gravel ◽  
C. Gauthier
Keyword(s):  
General Relativity ◽  
Mirror Symmetry ◽  
Ricci Tensor ◽  
Conformally Flat ◽  
Conformal Flatness

Using symmetry arguments only, we show that every spacetime with mirror-symmetric spatial sections is necessarily conformally flat. The general form of the Ricci tensor of such spacetimes is also determined.

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