Special Issue "Aspects of Black Hole Physics"

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A special issue of Galaxies (ISSN 2075-4434).

Deadline for manuscript submissions: closed (30 November 2013)

Special Issue Editor

Guest Editor
Prof. Dr. Luciano Vanzo

Department of Physics, University of Trento, Via Sommarive, 14, Povo 38123, Italy
Interests: black holes; Hawking radiation; event horizons; quantum tunneling; cosmology; dark energy

Special Issue Information

Dear Colleagues,

Researches in black hole physics cover now a vast territory ranging from general relativity to observational astrophysics to cosmology. Black holes are not only theoretical predictions of relativistic gravity theories, they may well be abundant in our universe, which enhances the motivation for their theoretical study and observation. The present “special issue” is to focus on these objects from different viewpoints, thereby adding to the physical understanding of the black holes. We would like to call for papers sharing ideas on a diversity of topics, including but not restricted to:

  • black hole radiation and information loss
  • dynamical black holes and trapping horizons
  • black hole solutions in theories of modified gravity
  • black hole formation in high energy collisions
  • black holes in an expanding universe
  • mathematical aspects related to black holes and the theory of horizons
  • brane world black holes, stringy black holes
  • conformal symmetry and black hole entropy

Review papers are also welcome.

Prof. Dr. Luciano Vanzo
Guest Editor

Submission

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. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as 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 refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Galaxies is an international peer-reviewed Open Access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. For the first couple of issues the Article Processing Charge (APC) will be waived for well-prepared manuscripts. English correction and/or formatting fees of 250 CHF (Swiss Francs) will be charged in certain cases for those articles accepted for publication that require extensive additional formatting and/or English corrections.


Published Papers (5 papers)

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Research

Jump to: Review, Other

Open AccessArticle Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume
Galaxies 2014, 2(1), 89-159; doi:10.3390/galaxies2010089
Received: 9 January 2014 / Revised: 6 February 2014 / Accepted: 7 February 2014 / Published: 3 March 2014
Cited by 90 | PDF Full-text (1418 KB) | HTML Full-text | XML Full-text
Abstract
In this review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. We [...] Read more.
In this review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. We specifically consider the thermodynamics of higher-dimensional rotating asymptotically flat and AdS black holes and black rings in a canonical (fixed angular momentum) ensemble. We plot the associated thermodynamic potential—the Gibbs free energy—and study its behavior to uncover possible thermodynamic phase transitions in these black hole spacetimes. We show that the multiply-rotating Kerr-AdS black holes exhibit a rich set of interesting thermodynamic phenomena analogous to the “every day thermodynamics” of simple substances, such as reentrant phase transitions of multicomponent liquids, multiple first-order solid/liquid/gas phase transitions, and liquid/gas phase transitions of the van derWaals type. Furthermore, the reentrant phase transitions also occur for multiply-spinning asymptotically flat Myers–Perry black holes. These phenomena do not require a variable cosmological constant, though they are more naturally understood in the context of the extended phase space. The thermodynamic volume, a quantity conjugate to the thermodynamic pressure, is studied for AdS black rings and demonstrated to satisfy the reverse isoperimetric inequality; this provides a first example of calculation confirming the validity of isoperimetric inequality conjecture for a black hole with non-spherical horizon topology. The equation of state P = P(V,T) is studied for various black holes both numerically and analytically—in the ultraspinning and slow rotation regimes. Full article
(This article belongs to the Special Issue Aspects of Black Hole Physics)
Open AccessArticle Revisiting Vaidya Horizons
Galaxies 2014, 2(1), 62-71; doi:10.3390/galaxies2010062
Received: 12 December 2013 / Revised: 29 January 2014 / Accepted: 29 January 2014 / Published: 10 February 2014
PDF Full-text (177 KB) | HTML Full-text | XML Full-text
Abstract
In this study, we located and compared different types of horizons in the spherically symmetric Vaidya solution. The horizons we found were trapping horizons, which can be null, timelike, or spacelike, null surfaces with constant area change and also conformal Killing horizons. [...] Read more.
In this study, we located and compared different types of horizons in the spherically symmetric Vaidya solution. The horizons we found were trapping horizons, which can be null, timelike, or spacelike, null surfaces with constant area change and also conformal Killing horizons. The conformal Killing horizons only exist for certain choices of the mass function. Under a conformal transformation, the conformal Killing horizons can be mapped into true Killing horizons. This allows conclusions drawn in the dynamical Vaidya spacetime to be related to known properties of static spacetimes. We found the conformal factor that performs this transformation and wrote the new metric in explicitly static coordinates. Using this construction we found that the tunneling argument for Hawking radiation does not umabiguously support Hawking radiation being associated with the trapping horizon. We also used this transformation to derive the form of the surface gravity for a class of physical observers in Vaidya spacetimes. Full article
(This article belongs to the Special Issue Aspects of Black Hole Physics)
Open AccessArticle A No-Go Theorem for Rotating Stars of a Perfect Fluid without Radial Motion in Projectable Hořava–Lifshitz Gravity
Galaxies 2013, 1(3), 261-274; doi:10.3390/galaxies1030261
Received: 16 October 2013 / Revised: 27 November 2013 / Accepted: 10 December 2013 / Published: 16 December 2013
PDF Full-text (123 KB) | HTML Full-text | XML Full-text
Abstract
Hořava–Lifshitz gravity has covariance only under the foliation-preserving diffeomorphism. This implies that the quantities on the constant-time hypersurfaces should be regular. In the original theory, the projectability condition, which strongly restricts the lapse function, is proposed. We assume that a star is [...] Read more.
Hořava–Lifshitz gravity has covariance only under the foliation-preserving diffeomorphism. This implies that the quantities on the constant-time hypersurfaces should be regular. In the original theory, the projectability condition, which strongly restricts the lapse function, is proposed. We assume that a star is filled with a perfect fluid with no-radial motion and that it has reflection symmetry about the equatorial plane. As a result, we find a no-go theorem for stationary and axisymmetric star solutions in projectable Hořava–Lifshitz  gravity under the physically reasonable assumptions in the matter sector. Since we do not use the gravitational action to prove it, our result also works out in other projectable theories and applies to not only strong gravitational fields, but also weak gravitational ones. Full article
(This article belongs to the Special Issue Aspects of Black Hole Physics)

Review

Jump to: Research, Other

Open AccessReview Evolving Black Hole Horizons in General Relativity and Alternative Gravity
Galaxies 2013, 1(3), 114-179; doi:10.3390/galaxies1030114
Received: 9 August 2013 / Revised: 17 September 2013 / Accepted: 17 September 2013 / Published: 25 September 2013
Cited by 19 | PDF Full-text (590 KB) | HTML Full-text | XML Full-text
Abstract
From the microscopic point of view, realistic black holes are time-dependent and the teleological concept of the event horizon fails. At present, the apparent or trapping horizon seem to be its best replacements in various areas of black hole physics. We discuss [...] Read more.
From the microscopic point of view, realistic black holes are time-dependent and the teleological concept of the event horizon fails. At present, the apparent or trapping horizon seem to be its best replacements in various areas of black hole physics. We discuss the known phenomenology of apparent and trapping horizons for analytical solutions of General Relativity and alternative theories of gravity. These specific examples (we focus on spherically symmetric inhomogeneities in a background cosmological spacetime) are useful as toy models for research on various aspects of black hole physics. Full article
(This article belongs to the Special Issue Aspects of Black Hole Physics)

Other

Jump to: Research, Review

Open AccessShort Communication Musings on Firewalls and the Information Paradox
Galaxies 2014, 2(2), 189-198; doi:10.3390/galaxies2020189
Received: 31 December 2013 / Revised: 3 April 2014 / Accepted: 8 April 2014 / Published: 14 April 2014
Cited by 2 | PDF Full-text (119 KB) | HTML Full-text | XML Full-text
Abstract
The past year has seen an explosion of new and old ideas about black hole physics. Prior to the firewall paper, the dominant picture was the thermofield model apparently implied by anti-de Sitter conformal field theory duality. While some seek a narrow [...] Read more.
The past year has seen an explosion of new and old ideas about black hole physics. Prior to the firewall paper, the dominant picture was the thermofield model apparently implied by anti-de Sitter conformal field theory duality. While some seek a narrow responce to Almheiri, Marolf, Polchinski, and Sully (AMPS) , there are a number of competing models. One problem in the field is the ambiguity of the competing proposals. Some are equivalent while others incompatible. This paper will attempt to define and classify a few models representative of the current discussions. Full article
(This article belongs to the Special Issue Aspects of Black Hole Physics)

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Type of Paper: Article
Title: Dynamical Apparent and Trapping Black Hole Horizons in General Relativity and Alternative Theories of Gravity
Author: Valerio Faraoni
Affiliation: The Physics Department, Bishop’s University, 2600 College St., Sherbrooke, QC J1M 1Z7, Canada; E-Mail: vfaraoni@ubishops.ca
Abstract: From the microscopic (and often from the astrophysical) point of view, realistic black holes are time-dependent and the teleological concept of event horizon fails. Apparent and trapping horizons seem the best candidates to replace them in various investigations of black hole physics. We discuss their use, with emphasis on specific examples which may be useful as toy models for research in black hole thermodynamics and other aspects of dynamical black hole physics, in both general relativity and alternative theories of gravity.

Type of Paper: Article
Title: There Are no Rotating Stars of a Perfect Fluid in Hořava-Lifshitz Gravity
Authors: Naoki Tsukamoto and Tomohiro Harada
Affiliation: Department of Physics, Rikkyo University, Tokyo 171-8501, Japan; E-Mails: 11ra001t@rikkyo.ac.jp (N.T.); harada@rikkyo.ac.jp (T.H.)
Abstract: Ho\v{r}ava-Lifshitz gravity has covariance only under the foliation-preserving diffeomorphism. This implies that the quantities on the constant-time hypersurfaces should be regular. In this theory, the projectability condition which strongly restricts the lapse function is required. We assume that a star is filled with a perfect fluid, that it has the reflection symmetry about the equatorial plane. As a result, we find that there are no stationary axisymmetric star solutions in Ho\v{r}ava-Lifshitz gravity under the physically reasonable assumptions on the matter sector. This is a serious problem in this theory from the view point of astrophysics. It seems that the invariance under the foliation-preserving diffeomorphism and the projectability condition are questionable since our result is derived from them.

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