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

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 ) grav...

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Main Author: V. K. Oikonomou
Format: Article
Language:English
Published: MDPI AG 2016-05-01
Series:Universe
Subjects:
Online Access:http://www.mdpi.com/2218-1997/2/2/10
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author V. K. Oikonomou
author_facet V. K. Oikonomou
author_sort V. K. Oikonomou
collection DOAJ
description 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.
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spelling doaj.art-2a179abde99748e8918994aaaa0057082022-12-22T04:00:26ZengMDPI AGUniverse2218-19972016-05-01221010.3390/universe2020010universe2020010Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) GravityV. K. Oikonomou0Departement of of Physics, Tomsk State Pedagogical University, Tomsk 634061, RussiaIn 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.http://www.mdpi.com/2218-1997/2/2/10mimetic gravitymodified gravityF(R) gravity
spellingShingle V. K. Oikonomou
Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity
Universe
mimetic gravity
modified gravity
F(R) gravity
title Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity
title_full Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity
title_fullStr Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity
title_full_unstemmed Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity
title_short Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity
title_sort reissner nordstrom anti de sitter black holes in mimetic f r gravity
topic mimetic gravity
modified gravity
F(R) gravity
url http://www.mdpi.com/2218-1997/2/2/10
work_keys_str_mv AT vkoikonomou reissnernordstromantidesitterblackholesinmimeticfrgravity