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Universe 2016, 2(2), 10; doi:10.3390/universe2020010

Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity

1
Departement of of Physics, Tomsk State Pedagogical University, Tomsk 634061, Russia
2
Laboratory of Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk 634050, Russia
Academic Editor: Gonzalo J. Olmo
Received: 18 April 2016 / Revised: 11 May 2016 / Accepted: 18 May 2016 / Published: 30 May 2016
(This article belongs to the Collection Open Questions in Black Hole Physics)
View Full-Text   |   Download PDF [270 KB, uploaded 31 May 2016]

Abstract

In this paper, we study under which conditions the Reissner–Nordström anti-de Sitter black hole can be a solution of the vacuum mimetic F ( R ) gravity with Lagrange multiplier and mimetic scalar potential. As the author demonstrates, the resulting picture in the mimetic F ( R ) gravity case is a trivial extension of the standard F ( R ) approach, and in effect, the metric perturbations in the mimetic F ( R ) gravity case, for the Reissner–Nordström anti-de Sitter black hole metric, at the first order of the perturbed variables are the same at the leading order. View Full-Text
Keywords: mimetic gravity; modified gravity; F(R) gravity mimetic gravity; modified gravity; F(R) gravity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Oikonomou, V.K. Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity. Universe 2016, 2, 10.

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