Stability of Extremal Black Holes and Weak Cosmic Censorship Conjecture in Kiselev Spacetime

Ankit Anand; Anshul Mishra; Phongpichit Channuie

Stability of Extremal Black Holes and Weak Cosmic Censorship Conjecture in Kiselev Spacetime

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arxiv 2411.02427 v1 pith:A27MIZFH submitted 2024-10-28 gr-qc hep-th

Ankit Anand , Anshul Mishra , Phongpichit Channuie This is my paper · ORCID

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keywords blackholesconjecturewcccweakcensorshipcosmicextremal

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In this study, we investigate the Weak Gravity Conjecture (WGC) and Weak Cosmic Censorship Conjecture (WCCC) for a quantum-corrected Reissner-Nordstr\"om Anti-de Sitter (RN-AdS) black hole embedded in Kiselev spacetime. By making small perturbations to the action and using WGC, we investigate the stability of black holes and predict the existence of lighter particles in the spectrum. Using the scattering of a charged scalar field, we study the WCCC. We verify under certain conditions on the temperature of the black hole, the second law holds for near-extremal black holes. Finally, we demonstrate that the WCCC holds for both extremal and near-extremal black holes.

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Quantum Corrections and Extremality: A Generalized Universal Relation
hep-th 2025-04 conditional novelty 4.0 of 10

For any entropy function S(r_h), the Goon-Penco extremality ratio equals d(pi r_h^2)/dS, so the original relation survives only for the area law.

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