Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime

Fuente: arXiv
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Main Author: Filho, A. A. Araújo
Format: Preprint
Published: 2024
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author Filho, A. A. Araújo
author_facet Filho, A. A. Araújo
contents We explore the gravitational properties of a nonlinear electromagnetic extension of an AdS Reissner-Nordström black hole. Our study begins with an analysis of the metric function and horizon structure, followed by calculations of the Ricci and Kretschmann scalars and an evaluation of the non-vanishing Christoffel symbols. These calculations allow us to examine geodesics and their influence on the photon sphere, and shadow formation. In the thermodynamic framework, we evaluate essential quantities, including the Hawking temperature, entropy, heat capacity, Gibbs free energy, and Hawking radiation emission. We further investigate black hole evaporation by estimating the evaporation timescale as the black hole approaches its final state. Additionally, quasinormal modes for scalar and vector perturbations are computed using the WKB approximation to characterize oscillatory behavior of the system. Finally, a time-domain analysis is provided in order to examine the evolution of these perturbations.
format Preprint
id arxiv_https___arxiv_org_abs_2410_23165
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime
Filho, A. A. Araújo
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We explore the gravitational properties of a nonlinear electromagnetic extension of an AdS Reissner-Nordström black hole. Our study begins with an analysis of the metric function and horizon structure, followed by calculations of the Ricci and Kretschmann scalars and an evaluation of the non-vanishing Christoffel symbols. These calculations allow us to examine geodesics and their influence on the photon sphere, and shadow formation. In the thermodynamic framework, we evaluate essential quantities, including the Hawking temperature, entropy, heat capacity, Gibbs free energy, and Hawking radiation emission. We further investigate black hole evaporation by estimating the evaporation timescale as the black hole approaches its final state. Additionally, quasinormal modes for scalar and vector perturbations are computed using the WKB approximation to characterize oscillatory behavior of the system. Finally, a time-domain analysis is provided in order to examine the evolution of these perturbations.
title Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2410.23165