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Thermodynamic Extremality in Power-law AdS Black Holes A Universal Perspective

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arxiv 2409.07079 v2 pith:TLOBGDS7 submitted 2024-09-11 hep-th

Thermodynamic Extremality in Power-law AdS Black Holes A Universal Perspective

classification hep-th
keywords blackholesrelationuniversalacrosspower-lawthermodynamicaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This study investigates the universal relation between Goon and Penco (GP) proposed within the frameworks of Power-Maxwell, Power-Yang-Mills, and Maxwell-Power-Yang-Mills black holes. We begin by analyzing these black holes' thermodynamics and then calculating the perturbed metric and thermodynamic quantities by perturbing the action. Our objective is to examine the consistency of the GP relation across various power-law terms in the field equations, aiming to gain deeper insights into the nature of these black holes. The GP connection remains robust across different power spacetimes, indicating that this relation is a universal feature of black holes.

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Cited by 1 Pith paper

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  1. Holographic CFT Thermodynamics as a Bridge Between the Weak Gravity and Weak Cosmic Censorship Conjectures for EMPYM--AdS Black Holes

    hep-th 2026-06 conditional novelty 4.0

    For EMPYM–AdS black holes, the paper derives a holographic first law, a charge-to-mass bound r_min/Q̃ < 1 from the superradiance condition, first-order horizon survival under scalar absorption, and an island Page time.