A Universality Theorem for the Quantum Thermodynamics of Near-Extremal Black Holes

Fuente: arXiv
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Autori principali: Zayas, Leopoldo A. Pando, Zhang, Jingchao
Natura: Preprint
Pubblicazione: 2026
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author Zayas, Leopoldo A. Pando
Zhang, Jingchao
author_facet Zayas, Leopoldo A. Pando
Zhang, Jingchao
contents We prove that the one-loop contribution from tensor modes to the thermodynamic entropy of near-extremal black holes is universal. Our proof applies to asymptotically flat, Anti-de-Sitter and de-Sitter black holes; it also covers spherical, axial and planar symmetries. We consider black hole configurations with and without matter sectors and explicitly discuss Abelian gauge fields and neutral scalar fields with arbitrary potential. We demonstrate that under certain conditions, the thermodynamics of near-extremal black holes contains a one-loop contribution from the tensor modes that equals $\frac{3}{2}\log (T_{\rm Hawking}/T_q)$. The proof of this theorem also shows explicitly how the Schwarzian modes appear universally in near-extremal geometries in dimensions four, five and six. We apply this theorem to Kerr-de-Sitter black holes as an explicit example.
format Preprint
id arxiv_https___arxiv_org_abs_2602_16767
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Universality Theorem for the Quantum Thermodynamics of Near-Extremal Black Holes
Zayas, Leopoldo A. Pando
Zhang, Jingchao
High Energy Physics - Theory
We prove that the one-loop contribution from tensor modes to the thermodynamic entropy of near-extremal black holes is universal. Our proof applies to asymptotically flat, Anti-de-Sitter and de-Sitter black holes; it also covers spherical, axial and planar symmetries. We consider black hole configurations with and without matter sectors and explicitly discuss Abelian gauge fields and neutral scalar fields with arbitrary potential. We demonstrate that under certain conditions, the thermodynamics of near-extremal black holes contains a one-loop contribution from the tensor modes that equals $\frac{3}{2}\log (T_{\rm Hawking}/T_q)$. The proof of this theorem also shows explicitly how the Schwarzian modes appear universally in near-extremal geometries in dimensions four, five and six. We apply this theorem to Kerr-de-Sitter black holes as an explicit example.
title A Universality Theorem for the Quantum Thermodynamics of Near-Extremal Black Holes
topic High Energy Physics - Theory
url https://arxiv.org/abs/2602.16767