Interplay of Null Energy Condition Violations and Thermodynamics in Kiselev Black Hole Evaporation

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Auteurs principaux: Vertogradov, Vitalii, Grigorev, Maksim
Format: Preprint
Publié: 2025
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author Vertogradov, Vitalii
Grigorev, Maksim
author_facet Vertogradov, Vitalii
Grigorev, Maksim
contents The evaporation of black holes with two horizons presents a rich thermodynamic landscape that departs fundamentally from the Schwarzschild paradigm. In this work, we analyze the Hawking temperature dynamics of the Kiselev black hole under varying mass $M$ and anisotropic fluid parameter $N$, explicitly connecting temperature behavior to phase transitions and violations of the null energy condition (NEC). We find that the temperature does not necessarily diverge during evaporation; instead, it typically falls to zero as the black hole evaporates. This cooling behavior is preceded, in certain parameter regimes, by a phase transition marked by a peak in temperature and a divergence in heat capacity. Crucially, the presence and nature of these phase transitions are dictated by the spacetime regions where the NEC is violated: global NEC violation leads to horizon merger and temperature suppression, while partial or absent violation can restore the standard evaporation picture. Our results establish a direct correspondence between thermodynamic stability, horizon dynamics, and energy condition structure in anisotropic black hole spacetimes.
format Preprint
id arxiv_https___arxiv_org_abs_2510_27454
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Interplay of Null Energy Condition Violations and Thermodynamics in Kiselev Black Hole Evaporation
Vertogradov, Vitalii
Grigorev, Maksim
General Relativity and Quantum Cosmology
The evaporation of black holes with two horizons presents a rich thermodynamic landscape that departs fundamentally from the Schwarzschild paradigm. In this work, we analyze the Hawking temperature dynamics of the Kiselev black hole under varying mass $M$ and anisotropic fluid parameter $N$, explicitly connecting temperature behavior to phase transitions and violations of the null energy condition (NEC). We find that the temperature does not necessarily diverge during evaporation; instead, it typically falls to zero as the black hole evaporates. This cooling behavior is preceded, in certain parameter regimes, by a phase transition marked by a peak in temperature and a divergence in heat capacity. Crucially, the presence and nature of these phase transitions are dictated by the spacetime regions where the NEC is violated: global NEC violation leads to horizon merger and temperature suppression, while partial or absent violation can restore the standard evaporation picture. Our results establish a direct correspondence between thermodynamic stability, horizon dynamics, and energy condition structure in anisotropic black hole spacetimes.
title Interplay of Null Energy Condition Violations and Thermodynamics in Kiselev Black Hole Evaporation
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2510.27454