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Mathematics
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Mathematics of Black Holes
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Mathematics of Black Holes

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: closed (31 May 2023) | Viewed by 4212

Special Issue Editors

Prof. Dr. Stoytcho Stoyanov Yazadjiev

E-Mail Website
Guest Editor
1. Department of Theoretical Physics, Physics Faculty, St. Kliment Ohridski University of Sofia, 1164 Sofia, Bulgaria
2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev St. 8, 1113 Sofia, Bulgaria
Interests: mathematical physics; theoretical physics; computational physics; einstein equations; black holes
Dr. Petya Nedkova

E-Mail Website
Guest Editor
Department of Theoretical Physics, Faculty of Physics, St. Kliment Ohridski University of Sofia, 1164 Sofia, Bulgaria
Interests: mathematical physics; gravitation; black holes; compact objects; mathematical aspects of black holes; gravitational lensing and shadows of compact objects; accretion disks

Special Issue Information

Dear Colleagues,

Black holes are emblematic objects in modern physics and, perhaps, there is no other object that has attracted more attention. Current observations provide us with more and more evidence for the existence of black holes as real astrophysical objects. Black holes are also among the perfect laboratories for testing fundamental physics. In addition to their extreme importance to physics, black holes have also inspired many beautiful mathematical results and provide a bridge between theoretical physics and mathematics. 

We invite our colleagues to contribute their papers to inform the scientific community of the advances made in the great adventure of studying black holes and the mathematics related to them. Topics of interest include all the mathematical and the theoretical aspects of black holes.

Prof. Dr. Stoytcho Yazadjiev
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. Mathematics is an international peer-reviewed open access semimonthly 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 theory
  • mathematical asspects of black holes

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Published Papers (2 papers)

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Research

14 pages, 7795 KiB  
Article
Dynamic Analytical Solution of a Charged Dilaton Black Hole
by Ruifang Wang, Jianwen Liu and Fabao Gao
Mathematics 2022, 10(12), 2113; https://doi.org/10.3390/math10122113 - 17 Jun 2022
Cited by 1 | Viewed by 1403
Abstract
This paper addresses an analytic solution of the particles in a charged dilaton black hole based on the two-timing scale method from the perspective of dynamics. The constructed solution is surprisingly consistent with the “exact solution” in the numerical sense of the system. [...] Read more.
This paper addresses an analytic solution of the particles in a charged dilaton black hole based on the two-timing scale method from the perspective of dynamics. The constructed solution is surprisingly consistent with the “exact solution” in the numerical sense of the system. It can clearly reflect how the physical characteristics of the particle flow, such as the viscosity, absolute temperature, and thermodynamic pressure, affect the characteristics of the black hole. Additionally, we also discuss the geometric structure relationship between the critical temperature and the charge as well as the dilaton parameter when a charged dilaton black hole undergoes a phase transition. It is found that the critical temperature decreases with the increase of the charge for a given dilaton value. When the charge value is small, the critical temperature value will first decrease and then increase as the dilaton value increases. Conversely, the critical temperature value will always increase with the dilaton parameter. Full article
(This article belongs to the Special Issue Mathematics of Black Holes)
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15 pages, 354 KiB  
Article
Can We Prescribe the Physical Parameters of Multiple Black Holes?
by István Rácz
Mathematics 2021, 9(24), 3170; https://doi.org/10.3390/math9243170 - 9 Dec 2021
Cited by 2 | Viewed by 1685
Abstract
The parabolic-hyperbolic form of the constraints and superposed Kerr-Schild black holes have already been used to provide a radically new initialization of binary black hole configurations. The method generalizes straightforwardly to multiple black hole systems. This paper is to verify that each of [...] Read more.
The parabolic-hyperbolic form of the constraints and superposed Kerr-Schild black holes have already been used to provide a radically new initialization of binary black hole configurations. The method generalizes straightforwardly to multiple black hole systems. This paper is to verify that each of the global Arnowitt-Deser-Misner quantities of the constructed multiple black hole initial data can always be prescribed, as desired, in advance of solving the constraints. These global charges are shown to be uniquely determined by the physical parameters of the involved individual Kerr-Schild black holes. Full article
(This article belongs to the Special Issue Mathematics of Black Holes)
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