arXiv · 1610.03881
Black Hole Solutions in Rastall Theory
Abstract
The Reissner-Nordström 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-Nordström, 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.
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Y. Heydarzade, H. Moradpour, F. Darabi. 2016-10-14. Black Hole Solutions in Rastall Theory. https://doi.org/10.1139/cjp-2017-0254
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