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Open AccessArticle

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
Universe 2016, 2(2), 10; https://doi.org/10.3390/universe2020010
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)
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
MDPI and ACS Style

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

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