Spherically Symmetric Static Solutions of Einstein's Equations

1969 ◽  
Vol 185 (5) ◽  
pp. 1664-1670 ◽  
Author(s):  
Clement Leibovitz
Keyword(s):  
Spherically Symmetric ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
Static Solutions

scholarly journals Spherically symmetric black holes and affine-null metric formulation of Einstein’s equations

2021 ◽  
Vol 104 (8) ◽  
Author(s):  
Emanuel Gallo ◽  
Carlos Kozameh ◽  
Thomas Mädler ◽  
Osvaldo M. Moreschi ◽  
Alejandro Perez
Keyword(s):  
Black Holes ◽  
Spherically Symmetric ◽  
Einstein’S Equations ◽  
Einstein's Equations

scholarly journals Effective gravitational mass of the Ayón-Beato and García metric

2015 ◽  
Vol 30 (25) ◽  
pp. 1550120 ◽  
Author(s):  
A. K. Sinha ◽  
G. K. Pandey ◽  
A. K. Bhaskar ◽  
B. C. Rai ◽  
A. K. Jha ◽  
...  
Keyword(s):  
Electromagnetic Field ◽  
Electric Charge ◽  
Radial Distance ◽  
Gravitational Mass ◽  
Spherically Symmetric ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
Adm Mass

In this paper, we calculate the effective gravitational mass of Ayón-Beato and García (AG) regular (nonsingular) static spherically symmetric asymptotically Minkowskian metric that is a solution to Einstein’s equations coupled with a nonlinear electromagnetic field. The effective gravitational mass is negative, zero, or positive that depends on the ratio of magnitude of electric charge to the ADM mass and the ratio of the radial distance to the ADM mass. As expected, at large values of radial distance, our result gives effective gravitational mass of the Reissner–Nordström metric.

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