Are regular black holes from pure gravity classified within the same thermodynamical topology?

Regular black holes, which avoid the essential central singularities, can be constructed through various methods, including nonlinear electrodynamics and quantum corrections. Recently, it was shown that via an infinite tower of higher-curvature corrections, one can obtain different regular black hol...

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Main Authors: Sheng-Wei Wang, Shan-Ping Wu, Shao-Wen Wei
Format: Article
Language:English
Published: Elsevier 2025-05-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325001625
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author Sheng-Wei Wang
Shan-Ping Wu
Shao-Wen Wei
author_facet Sheng-Wei Wang
Shan-Ping Wu
Shao-Wen Wei
author_sort Sheng-Wei Wang
collection DOAJ
description Regular black holes, which avoid the essential central singularities, can be constructed through various methods, including nonlinear electrodynamics and quantum corrections. Recently, it was shown that via an infinite tower of higher-curvature corrections, one can obtain different regular black hole solutions in any spacetime dimension D≥5. Utilizing the concept of thermodynamical topology, we examine these black holes as topological thermodynamic defects, classifying them into distinct topological categories based on their generalized free energy. We demonstrate that the Hawking temperature of the black hole has at least one zero point at the small horizon radius limit. Under this fact, the regular black holes generated through the purely gravitational theories exhibit universal thermodynamical behaviors, strongly suggesting they belong to the same topological class. We present a comprehensive analysis of these properties, providing a clearer understanding of the fundamental nature of this type of regular black holes and their classification within the framework of thermodynamical topology.
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spelling doaj-art-d3db6a1b0797450ebe25606ba2cc51592025-08-20T03:18:09ZengElsevierPhysics Letters B0370-26932025-05-0186413940210.1016/j.physletb.2025.139402Are regular black holes from pure gravity classified within the same thermodynamical topology?Sheng-Wei Wang0Shan-Ping Wu1Shao-Wen Wei2Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, and Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou, Gansu 730000, China; Institute of Theoretical Physics, Research Center of Gravitation, and School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, ChinaLanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, and Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou, Gansu 730000, China; Institute of Theoretical Physics, Research Center of Gravitation, and School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, ChinaLanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, and Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou, Gansu 730000, China; Institute of Theoretical Physics, Research Center of Gravitation, and School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China; Corresponding author at: Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, and Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou, Gansu 730000, China.Regular black holes, which avoid the essential central singularities, can be constructed through various methods, including nonlinear electrodynamics and quantum corrections. Recently, it was shown that via an infinite tower of higher-curvature corrections, one can obtain different regular black hole solutions in any spacetime dimension D≥5. Utilizing the concept of thermodynamical topology, we examine these black holes as topological thermodynamic defects, classifying them into distinct topological categories based on their generalized free energy. We demonstrate that the Hawking temperature of the black hole has at least one zero point at the small horizon radius limit. Under this fact, the regular black holes generated through the purely gravitational theories exhibit universal thermodynamical behaviors, strongly suggesting they belong to the same topological class. We present a comprehensive analysis of these properties, providing a clearer understanding of the fundamental nature of this type of regular black holes and their classification within the framework of thermodynamical topology.http://www.sciencedirect.com/science/article/pii/S0370269325001625Regular black holeThermodynamical topology
spellingShingle Sheng-Wei Wang
Shan-Ping Wu
Shao-Wen Wei
Are regular black holes from pure gravity classified within the same thermodynamical topology?
Physics Letters B
Regular black hole
Thermodynamical topology
title Are regular black holes from pure gravity classified within the same thermodynamical topology?
title_full Are regular black holes from pure gravity classified within the same thermodynamical topology?
title_fullStr Are regular black holes from pure gravity classified within the same thermodynamical topology?
title_full_unstemmed Are regular black holes from pure gravity classified within the same thermodynamical topology?
title_short Are regular black holes from pure gravity classified within the same thermodynamical topology?
title_sort are regular black holes from pure gravity classified within the same thermodynamical topology
topic Regular black hole
Thermodynamical topology
url http://www.sciencedirect.com/science/article/pii/S0370269325001625
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