Black Hole Solutions in Rastall Theory
General Relativity and Quantum Cosmology
2017-12-05 v2
Abstract
The Reissner-Nordstr\"om black hole solution in a generic cosmological constant background in the the context of Rastall gravity is obtained. It is shown that the cosmological constant arises naturally from the consistency of the non-vacuum field equations of the Rastall theory for a spherical symmetric spacetime, rather than its {\it ad-hoc} introduction in the usual Einstein and Einstein-Maxwell field equations. The usual Reissner-Nordstr\"om, Schwarzschild and Schwarzschild-(anti)de Sitter black hole solutions in the framework of this theory are also addressed as the special independent subclasses of the obtained general solution.
Keywords
Cite
@article{arxiv.1610.03881,
title = {Black Hole Solutions in Rastall Theory},
author = {Y. Heydarzade and H. Moradpour and F. Darabi},
journal= {arXiv preprint arXiv:1610.03881},
year = {2017}
}
Comments
4 pages