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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MDPI AG
2016-05-01
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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. |
first_indexed | 2024-04-11T22:15:11Z |
format | Article |
id | doaj.art-2a179abde99748e8918994aaaa005708 |
institution | Directory Open Access Journal |
issn | 2218-1997 |
language | English |
last_indexed | 2024-04-11T22:15:11Z |
publishDate | 2016-05-01 |
publisher | MDPI AG |
record_format | Article |
series | Universe |
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 |