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A systematic approach to find solutions of the Einstein–Maxwell field equations for static spherically symmetric spacetimes using Segre classification.
- Source :
-
International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology . Aug2022, Vol. 31 Issue 11, p1-9. 9p. - Publication Year :
- 2022
-
Abstract
- In the literature, several spherically symmetric static solutions of the Einstein–Maxwell field equations (EMFEs) have been obtained by taking assumptions/ansatz on the parameters involved, like electric field intensity, gravitational potential, equation of state, etc. In this paper, using the Segre classification, we present a systematic scheme that limits the number of assumptions/ansatz required to be taken. It is found that the static spherically symmetric solutions of the EMFEs can only be of Segre types [ (1 1 1 1) ] , [ (1 1) (1 1) ] , [ 1 (1 1 1) ] , or [ 1 (1 1) 1 ]. It is also shown that the type [ (1 1 1 1) ] leads to the Schwarzschild de-Sitter/anti de-Sitter solutions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02182718
- Volume :
- 31
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics D: Gravitation, Astrophysics & Cosmology
- Publication Type :
- Academic Journal
- Accession number :
- 159173533
- Full Text :
- https://doi.org/10.1142/S0218271822400065