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 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.

Einstein and Rastall theories of gravitation in comparison

“…Other interesting a e-mail: cordac.galilei@gmail.com issues are that Rastall gravity seems to do not suffer from the entropy and age problems of standard cosmology [23] and is consistent with the gravitational lensing phenomena [24,25]. Further interesting works on Rastall gravity are given by [26][27][28][29][30] and references within.Differently from Einstein gravity, Rastall gravity considers a non-divergence-free energy-momentum . A different, but similar theory is the so called Curvature-matter theory of gravity [31][32][33][34][35].…”

“…Other interesting a e-mail: cordac.galilei@gmail.com issues are that Rastall gravity seems to do not suffer from the entropy and age problems of standard cosmology [23] and is consistent with the gravitational lensing phenomena [24,25]. Further interesting works on Rastall gravity are given by [26][27][28][29][30] and references within.…”

Scalar QNMs for higher dimensional black holes surrounded by quintessence in Rastall gravity

“…This framework has been attracted some attentions over the last few years, and some results have been already obtained, both related to astrophysical [2][3][4][5][6][7][8][9] and cosmological solutions [10][11][12][13][14][15][16]. In particular, black holes solutions surrounded by exotic matter fields have been obtained based on the idea developed by Kiselev [17], who states that one should consider astrophysical solutions surrounded by a dark energy field, in accordance with the recent cosmological observations about the acceleration of the universe.…”

Dynamics of charged and rotating NUT black holes in Rastall gravity

“…Various black hole solutions in Rastall gravity have been found, e.g. the static black hole 11 and the charged rotating black hole solutions. 12 Similar works involved in Rastall background recently can be found in Ref.…”