Reduced Phase Space Quantization and Quantum Corrected Entropy of Schwarzschild-de Sitter Horizons

Fuente: arXiv
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Autores principales: Jalalzadeh, S., Moradpour, H.
Formato: Preprint
Publicado: 2026
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author Jalalzadeh, S.
Moradpour, H.
author_facet Jalalzadeh, S.
Moradpour, H.
contents This paper investigates the quantization of the Schwarzschild--de Sitter (SdS) black hole (BH) using the Misner--Sharp--Hernandez (MSH) mass as the internal energy in a reduced phase space framework. After introducing the canonical variables of the reduced phase space, we derive a discrete spectrum for the surface areas of the BH event horizon (EH) as well as MSH masses. We utilized the MSH mass spectrum to obtain the entropy of the BH. The entropy of the BH and cosmic EHs reveals a logarithmic correction to the Bekenstein--Hawking term. Our results support the robustness of the logarithmic form of quantum corrections in SdS thermodynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2602_01767
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Reduced Phase Space Quantization and Quantum Corrected Entropy of Schwarzschild-de Sitter Horizons
Jalalzadeh, S.
Moradpour, H.
General Relativity and Quantum Cosmology
This paper investigates the quantization of the Schwarzschild--de Sitter (SdS) black hole (BH) using the Misner--Sharp--Hernandez (MSH) mass as the internal energy in a reduced phase space framework. After introducing the canonical variables of the reduced phase space, we derive a discrete spectrum for the surface areas of the BH event horizon (EH) as well as MSH masses. We utilized the MSH mass spectrum to obtain the entropy of the BH. The entropy of the BH and cosmic EHs reveals a logarithmic correction to the Bekenstein--Hawking term. Our results support the robustness of the logarithmic form of quantum corrections in SdS thermodynamics.
title Reduced Phase Space Quantization and Quantum Corrected Entropy of Schwarzschild-de Sitter Horizons
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2602.01767