Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity

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 we demonstrate, the resulting picture in the mimetic $F(R)$ gravity case, is different in comparison to the ordinary $F(R)$ gravity case, with the two descriptions resulting to a different set of constraints that need to hold true. We also investigate the metric perturbations in the mimetic $F(R)$ gravity case, for the Reissner-Nordström-anti de Sitter black hole metric, at first order of the perturbed variables. Interestingly enough, the resulting equations are identical to the ones corresponding to the ordinary $F(R)$ gravity Reissner-Nordström-anti de Sitter black hole, at least at first order. We attribute this feature to the particular form of the Reissner-Nordström-anti de Sitter metric, and we speculate for which cases there could be differences between the mimetic and non-mimetic case. Since the perturbation equations are the same for the two cases, it is possible to have black hole instabilities in the mimetic $F(R)$ gravity case too, which can be interpreted as anti-evaporation of the black hole.

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• Anti-Evaporation of Bardeen de-Sitter Black Holes
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• Thick branes with inner structure in mimetic gravity
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Black hole shadow and chaos bound violation in $f(T)$ teleparallel gravity
• The key role of Lagrangian multiplier in mimetic gravitational theory in the frame of isotropic compact star
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Mimetic gravity in $(2+1)$-dimensions
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• Evaluation of physical properties of Kiselev like AdS spacetime in the context of $f(R,T)$ gravity under the impact of quantum gravity
• Structure formation in mimetic gravity
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• Reissner Nordstrom Metric in Unimodular Theory of Gravity
• Solar system tests in constraining parameters of dyon black holes
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Evaporation/Antievaporation and energy conditions in alternative gravity
• Isotropic stellar model in mimetic theory
• Suppression of Bekenstein-Hawking radiation in $f(T)$-gravity
• Anti-Evaporation/Evaporation of $n$-dimensional Reissner-Nordström Black Hole
• First-order formalism and thick branes in mimetic gravity