Black hole solutions in Rastall theory
Y. HeydarzadeDepartment of Physics, Azarbaijan Shahid Madani University, Tabriz, 53714-161, IranH. MoradpourResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha 55134-441, IranF. DarabiDepartment of Physics, Azarbaijan Shahid Madani University, Tabriz, 53714-161, Iran
2017en
ABI
Abstract
The Reissner–Nordström black hole solution in a generic cosmological constant background in 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 space–time, rather than its 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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