Gravitational Surface Tension as the Origin for the Black Hole Entropy

Fuente: arXiv
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Autori principali: Campos, S. D., Longaresi, R. H.
Natura: Preprint
Pubblicazione: 2024
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author Campos, S. D.
Longaresi, R. H.
author_facet Campos, S. D.
Longaresi, R. H.
contents In this work, we explore the thermodynamics of black holes using the Gouy-Stodola theorem, traditionally applied to mechanical systems relating entropy production to the difference between reversible and irreversible work. We model black holes as gravitational bubbles with surface tension defined at the event horizon, deriving the Bekenstein-Hawking entropy relation for non-rotating black holes. One extends this approach to rotating black holes, incorporating the effects of angular momentum, demonstrating that the Gouy-Stodola theorem can similarly derive the entropy-area law in this case. Additionally, we analyze the merging of two black holes, showing that the resultant total entropy exceeds the sum of the individual entropies, thereby adhering to the second law of thermodynamics. Our results suggest that gravitational surface tension is a key factor in black hole thermodynamics, providing a novel and coherent framework for understanding the entropy production in these extreme astrophysical objects.
format Preprint
id arxiv_https___arxiv_org_abs_2409_02694
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gravitational Surface Tension as the Origin for the Black Hole Entropy
Campos, S. D.
Longaresi, R. H.
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Theory
In this work, we explore the thermodynamics of black holes using the Gouy-Stodola theorem, traditionally applied to mechanical systems relating entropy production to the difference between reversible and irreversible work. We model black holes as gravitational bubbles with surface tension defined at the event horizon, deriving the Bekenstein-Hawking entropy relation for non-rotating black holes. One extends this approach to rotating black holes, incorporating the effects of angular momentum, demonstrating that the Gouy-Stodola theorem can similarly derive the entropy-area law in this case. Additionally, we analyze the merging of two black holes, showing that the resultant total entropy exceeds the sum of the individual entropies, thereby adhering to the second law of thermodynamics. Our results suggest that gravitational surface tension is a key factor in black hole thermodynamics, providing a novel and coherent framework for understanding the entropy production in these extreme astrophysical objects.
title Gravitational Surface Tension as the Origin for the Black Hole Entropy
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Theory
url https://arxiv.org/abs/2409.02694