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Special Issue "Modified Gravity: From Black Holes Entropy to Current Cosmology IV"

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

Deadline for manuscript submissions: 30 June 2024 | Viewed by 109

Special Issue Editor

Special Issue Information

Dear Colleagues,

Recent cosmological observations strongly support that the current expansion of the universe is accelerating. The origin of such a cosmic acceleration mechanism is one of the most significant problems in modern cosmology. Indeed, this is shown by the fact that the Nobel Prize in Physics 2011 was presented to the finding of the current cosmic acceleration by means of the observations of the Type Ia supernovae.

There are two representative approaches to explain the current accelerated expansion of the universe. One is to introduce “dark energy” in the framework of general relativity. The other is to modify a gravitational theory, such as f(R) gravity, so that we can obtain so-called geometrical dark energy. It is believed that a modified gravitational theory must pass cosmological bounds and solar system tests because it corresponds to an alternative theory of gravitation to general relativity. As another meaningful touchstone of modified gravity, it is important to examine whether the second law of thermodynamics can be satisfied in the models of modified gravity.

The fundamental connection between gravitation and thermodynamics has been suggested by the discovery of black hole thermodynamics with black hole entropy and Hawking temperature. In addition, it was shown that the Einstein equation can be derived from the proportionality of the entropy to the horizon area together with the Clausius relation in thermodynamics. This consequence has been applied to various cosmological settings as well as modified gravitational theories. In particular, the connections between thermodynamics and modified gravity have recently been discussed extensively.

In this Special Issue, we discuss the application of thermodynamics to the test of a successful alternative gravitational theory to general relativity. Through this procedure, we can obtain a clue to resolve the dark energy problem “geometrically”. It is considered that any successful modified gravity theory should obey the second law of thermodynamics. If the second law is violated in certain universes in a model, it is more likely to be due to an incorrect generalization of the second law or some inherent inconsistency of the model itself. For the latter case, the model should be abandoned. It is strongly expected that the considerations of this Special Issue can produce a new physical understanding of entropy in the context of the relation between thermodynamics and gravitation and shed light on novel compounds, as well as insights into modern cosmology, in particular new properties of dark energy.

Dr. Kazuharu Bamba
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.


  • quantum aspects of black holes, evaporation, thermodynamics
  • black hole entropy
  • modified theories of gravity
  • dark energy
  • inflationary cosmology
  • observational cosmology
  • physics in the early universe
  • astrophysics of compact objects

Published Papers

This special issue is now open for submission, see below for planned papers.

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.

Tentative title: Thermodynamics in a Non-canonical $f(\bar{R}, \bar{T})$ gravity theory
Authors: Maxim Khlopov $^{a}$, Arijit Panda $^{b}$, Saibal Ray
$^{c}$, Goutam Manna $^{d}$
Affiliations: $^{a}$ Institute of Physics, Southern Federal University, 194 Stachki, Rostov-on-Don 344090, Russian Federation; National Research Nuclear University, MEPHI, Moscow, Russian Federation; Virtual Institute of Astroparticle Physics 10, rue Garreau, 75018 Paris, France
$^{b}$ Department of Physics, Prabhat Kumar College, Contai, Purba Medinipur 721404, West Bengal, India; Department of Physics, Raiganj University, Raiganj, Uttar Dinajpur 733 134, West Bengal, India
$^{c}$ Centre for Cosmology, Astrophysics and Space Science (CCASS), GLA University, Mathura 281406, Uttar Pradesh, India
$^{d}$ Department of Physics, Prabhat Kumar College, Contai, Purba Medinipur 721404, West Bengal, India
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