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Advances in Black Hole Thermodynamics
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Advances in Black Hole Thermodynamics

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Astrophysics, Cosmology, and Black Holes".

Deadline for manuscript submissions: closed (15 March 2023) | Viewed by 6856

Special Issue Editor

Prof. Dr. Hideo Iguchi

E-Mail Website
Guest Editor
College of Science and Technology, Department of Liberal Arts and Science, Nihon University, 7-24-1 Narashinodai, Funabashi, Chiba 274-8501, Japan
Interests: general relativity; black hole; naked singularity

Special Issue Information

Dear Colleagues,

The classical law of black hole dynamics, represented by the law of increasing the area of black hole horizon, shows similarities to the law of thermodynamics. These similarities between black hole dynamics and thermodynamics were sublimated into black hole thermodynamics by the discovery of Hawking radiation. Since then, black hole thermodynamics has become one of the most important research subjects in the general theory of relativity, and many studies have been conducted so far. In recent years, many studies have been conducted, pointing out the connection with information theory from problems such as information loss due to evaporation of black holes and entanglement entropy. In addition, research on black hole thermodynamics has led to the construction of holographic principles, and its presence is increasing in research on string theory, such as being a place for application and practice of AdS/CFT correspondence. In this way, the study of black hole thermodynamics is not limited to the study of general relativity but is a very important research subject that has a wide range of connections with multiple fields.

The aim of this Special Issue is to collect new developments in black hole thermodynamics and to provide new directions for research in this area.

Prof. Dr. Hideo Iguchi
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • black hole thermodynamics
  • black hole entropy
  • black hole evaporation
  • nonextensive entropy
  • entanglement entropy
  • regular /nonsingular black holes
  • AdS/CFT correspondence
  • information theory

Published Papers (4 papers)

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Research

15 pages, 648 KiB  
Article
Properties of Spherically Symmetric Black Holes in the Generalized Brans–Dicke Modified Gravitational Theory
by Mou Xu, Jianbo Lu, Shining Yang and Hongnan Jiang
Entropy 2023, 25(5), 814; https://0-doi-org.brum.beds.ac.uk/10.3390/e25050814 - 18 May 2023
Cited by 1 | Viewed by 1006
Abstract
The many problems faced by the theory of general relativity (GR) have always motivated us to explore the modified theory of GR. Considering the importance of studying the black hole (BH) entropy and its correction in gravity physics, we study the correction of [...] Read more.
The many problems faced by the theory of general relativity (GR) have always motivated us to explore the modified theory of GR. Considering the importance of studying the black hole (BH) entropy and its correction in gravity physics, we study the correction of thermodynamic entropy for a kind of spherically symmetric black hole under the generalized Brans–Dicke (GBD) theory of modified gravity. We derive and calculate the entropy and heat capacity. It is found that when the value of event horizon radius r+ is small, the effect of the entropy-correction term on the entropy is very obvious, while for larger values r+, the contribution of the correction term on entropy can be almost ignored. In addition, we can observe that as the radius of the event horizon increases, the heat capacity of BH in GBD theory will change from a negative value to a positive value, indicating that there is a phase transition in black holes. Given that studying the structure of geodesic lines is important for exploring the physical characteristics of a strong gravitational field, we also investigate the stability of particles’ circular orbits in static spherically symmetric BHs within the framework of GBD theory. Concretely, we analyze the dependence of the innermost stable circular orbit on model parameters. In addition, the geodesic deviation equation is also applied to investigate the stable circular orbit of particles in GBD theory. The conditions for the stability of the BH solution and the limited range of radial coordinates required to achieve stable circular orbit motion are given. Finally, we show the locations of stable circular orbits, and obtain the angular velocity, specific energy, and angular momentum of the particles which move in circular orbits. Full article
(This article belongs to the Special Issue Advances in Black Hole Thermodynamics)
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23 pages, 759 KiB  
Article
Restricted Phased Space Thermodynamics for Black Holes in Higher Dimensions and Higher Curvature Gravities
by Xiangqing Kong, Tao Wang, Zeyuan Gao and Liu Zhao
Entropy 2022, 24(8), 1131; https://0-doi-org.brum.beds.ac.uk/10.3390/e24081131 - 16 Aug 2022
Cited by 11 | Viewed by 1225
Abstract
The recently proposed restricted phase space thermodynamics is shown to be applicable to a large class of higher dimensional higher curvature gravity models coupled to Maxwell field, which are known as black hole scan models and are labeled by the spacetime dimension d [...] Read more.
The recently proposed restricted phase space thermodynamics is shown to be applicable to a large class of higher dimensional higher curvature gravity models coupled to Maxwell field, which are known as black hole scan models and are labeled by the spacetime dimension d and the highest order k of the Lanczos-Lovelock densities appearing in the action. Three typical example cases with (d,k)=(5,1),(5,2) and (6,2) are chosen as example cases and studied in some detail. These cases are representatives of Einstein-Hilbert, Chern-Simons and Born-Infield like gravity models. Our study indicates that the Einstein-Hilbert and Born-Infield like gravity models have similar thermodynamic behaviors, e.g., the existence of isocharge T−S phase transitions with the same critical exponents, the existence of isovoltage T−S transitions and the Hawking-Page like transitions, and the similar high temperature asymptotic behaviors for the isocharge heat capacities, etc. However, the Chern-Simons like (5,2)-model behaves quite differently. Neither isocharge nor isovoltage T−S transitions could occur and no Hawking-Page like transition is allowed. This seems to indicate that the Einstein-Hilbert and Born-Infield like models belong to the same universality class while the Chern-Simons like models do not. Full article
(This article belongs to the Special Issue Advances in Black Hole Thermodynamics)
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11 pages, 303 KiB  
Article
Solenoid Configurations and Gravitational Free Energy of the AdS–Melvin Spacetime
by Yen-Kheng Lim
Entropy 2021, 23(11), 1477; https://0-doi-org.brum.beds.ac.uk/10.3390/e23111477 - 08 Nov 2021
Cited by 1 | Viewed by 1589
Abstract
In this paper we explore a solenoid configuration involving a magnetic universe solution embedded in an empty Anti-de Sitter (AdS) spacetime. This requires a non-trivial surface current at the interface between the two spacetimes, which can be provided by a charged scalar field. [...] Read more.
In this paper we explore a solenoid configuration involving a magnetic universe solution embedded in an empty Anti-de Sitter (AdS) spacetime. This requires a non-trivial surface current at the interface between the two spacetimes, which can be provided by a charged scalar field. When the interface is taken to the AdS boundary, we recover the full AdS–Melvin spacetime. The stability of the AdS–Melvin solution is also studied by computing the gravitational free energy from the Euclidean action. Full article
(This article belongs to the Special Issue Advances in Black Hole Thermodynamics)
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7 pages, 287 KiB  
Article
Area Entropy and Quantized Mass of Black Holes from Information Theory
by Dongshan He and Qingyu Cai
Entropy 2021, 23(7), 858; https://0-doi-org.brum.beds.ac.uk/10.3390/e23070858 - 03 Jul 2021
Cited by 2 | Viewed by 2059
Abstract
In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that [...] Read more.
In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy. Full article
(This article belongs to the Special Issue Advances in Black Hole Thermodynamics)
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