Nonsingular black hole chemistry in 4D Einstein-Gauss-Bonnet gravity

The EGB is an outcome of quadratic curvature corrections to the Einstein-Hilbert gravity action in the form of a Gauss-Bonnet (GB) term in D>4 dimensions, and EGB gravity is topologically invariant in 4D. Several ways have been proposed for regularizing the D→4 limit of EGB for non-trivial gravit...

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Main Authors: Arun Kumar, Sushant G. Ghosh
Format: Article
Language:English
Published: Elsevier 2023-02-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321323000184
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author Arun Kumar
Sushant G. Ghosh
author_facet Arun Kumar
Sushant G. Ghosh
author_sort Arun Kumar
collection DOAJ
description The EGB is an outcome of quadratic curvature corrections to the Einstein-Hilbert gravity action in the form of a Gauss-Bonnet (GB) term in D>4 dimensions, and EGB gravity is topologically invariant in 4D. Several ways have been proposed for regularizing the D→4 limit of EGB for non-trivial gravitational dynamics in 4D. Motivated by the importance of AdS/CFT, we obtain an exact static spherically symmetric nonsingular black hole in 4D EGB gravity coupled to the nonlinear electrodynamics (NED) in an AdS spacetime. We interpret the negative cosmological constant Λ as the positive pressure, via P=−Λ/8π, of the system's thermodynamic properties of the nonsingular black hole with an AdS background. We find that for P<Pc, the black holes with CP>0 are stable to thermal fluctuations and unstable otherwise. We also analyzed the Gibbs free energy to find that the small globally unstable black holes undergo a phase transition to the large globally stable black holes. Further, we study the P−V criticality of the system and then calculate the critical exponents to find that our system behaves like Van der Walls fluid.
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spelling doaj.art-09715ff35cf3441e95f1e8ca3cc14b162023-02-23T04:30:05ZengElsevierNuclear Physics B0550-32132023-02-01987116089Nonsingular black hole chemistry in 4D Einstein-Gauss-Bonnet gravityArun Kumar0Sushant G. Ghosh1Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi 110025, India; Department of Mathematical Sciences, University of Zululand, Private Bag X1001, Kwa-Dlangezwa 3886, South Africa; Corresponding author.Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi 110025, India; Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South AfricaThe EGB is an outcome of quadratic curvature corrections to the Einstein-Hilbert gravity action in the form of a Gauss-Bonnet (GB) term in D>4 dimensions, and EGB gravity is topologically invariant in 4D. Several ways have been proposed for regularizing the D→4 limit of EGB for non-trivial gravitational dynamics in 4D. Motivated by the importance of AdS/CFT, we obtain an exact static spherically symmetric nonsingular black hole in 4D EGB gravity coupled to the nonlinear electrodynamics (NED) in an AdS spacetime. We interpret the negative cosmological constant Λ as the positive pressure, via P=−Λ/8π, of the system's thermodynamic properties of the nonsingular black hole with an AdS background. We find that for P<Pc, the black holes with CP>0 are stable to thermal fluctuations and unstable otherwise. We also analyzed the Gibbs free energy to find that the small globally unstable black holes undergo a phase transition to the large globally stable black holes. Further, we study the P−V criticality of the system and then calculate the critical exponents to find that our system behaves like Van der Walls fluid.http://www.sciencedirect.com/science/article/pii/S0550321323000184
spellingShingle Arun Kumar
Sushant G. Ghosh
Nonsingular black hole chemistry in 4D Einstein-Gauss-Bonnet gravity
Nuclear Physics B
title Nonsingular black hole chemistry in 4D Einstein-Gauss-Bonnet gravity
title_full Nonsingular black hole chemistry in 4D Einstein-Gauss-Bonnet gravity
title_fullStr Nonsingular black hole chemistry in 4D Einstein-Gauss-Bonnet gravity
title_full_unstemmed Nonsingular black hole chemistry in 4D Einstein-Gauss-Bonnet gravity
title_short Nonsingular black hole chemistry in 4D Einstein-Gauss-Bonnet gravity
title_sort nonsingular black hole chemistry in 4d einstein gauss bonnet gravity
url http://www.sciencedirect.com/science/article/pii/S0550321323000184
work_keys_str_mv AT arunkumar nonsingularblackholechemistryin4deinsteingaussbonnetgravity
AT sushantgghosh nonsingularblackholechemistryin4deinsteingaussbonnetgravity