Thermodynamics of non-linearly charged Anti-de Sitter black holes in four-dimensional Critical Gravity

In this work, we provide new examples of Anti-de Sitter black holes with a planar base manifold in four-dimensional Critical Gravity by considering nonlinear electrodynamics as a matter source. We find a general solution characterized by the presence of only one integration constant where, for a sui...

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Authors: Álvarez, Abigail, Bravo-Gaete, Moisés, María Montserrat Juárez-Aubry, Gerardo Velázquez Rodríguez
Format: Article
Language:English
Subjects:
Elections
Electrodynamics
Energy conservation law
Stability analysis
Thermodynamics
Online Access:Get full text
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Summary:In this work, we provide new examples of Anti-de Sitter black holes with a planar base manifold in four-dimensional Critical Gravity by considering nonlinear electrodynamics as a matter source. We find a general solution characterized by the presence of only one integration constant where, for a suitable election of coupling constants, we can show the existence of one or more horizons. Additionally, we compute its non-null thermodynamical quantities through a variety of techniques, testing the validity of the first law of thermodynamics as well as a Smarr formula. Finally, we analyze the local thermodynamical stability of the solutions. To our knowledge, these charged configurations are the first example with Critical Gravity where their thermodynamical quantities are not zero.
ISSN:2331-8422
DOI:10.48550/arxiv.2202.11252