Special Issue "Modified Gravity: From Black Holes Entropy to Current Cosmology"
A special issue of Entropy (ISSN 10994300).
Deadline for manuscript submissions: closed (20 September 2012)
Special Issue Editors
Guest Editor
Prof. Dr. Sergei D. Odintsov
Institució Catalana de Recerca i Estudis Avançats (ICREA) and Institut de Ciencies de l’Espai (IEECCSIC), Campus UAB, Facultat de Ciencies, Torre C5Par2a pl, E08193 Bellaterra (Barcelona), Spain
Website: http://www.ice.csic.es/en/view_staff.php?MID=41&ap=1
EMail: odintsov@ieec.uab.es
Phone: +34 93 5814368
Fax: +34 93 5814363
Interests: cosmology; dark energy and inflation; quantum gravity; modified gravity and beyond general relativity; quantum fields at external fields
Guest Editor
Prof. Dr. Kazuharu Bamba
Leading Graduate School Promotion Center, Ochanomizu University, 211 Ohtsuka, Bunkyoku, Tokyo 1128610, Japan
EMail: bamba.kazuharu@ocha.ac.jp
Phone: +81 3 5978 5775
Fax: +81 3 5978 5776
Interests: modified theories of gravity; dark energy; cosmology; particletheory and fieldtheory models of the early universe; electric and magnetic fields; quantum aspects of black holes, evaporation, thermodynamics
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 socalled 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 our new physical understanding on entropy in the context of the relation between thermodynamics and gravitation and shed light on novel ingredients as well as insights on modern cosmology, in particular new properties of dark energy.
Prof. Dr. Sergei D. Odintsov
Dr. Kazuharu Bamba
Guest Editors
Keywords
 Quantum aspects of black holes, evaporation, thermodynamics
 Black hole entropy
 Modified theories of gravity
 Dark energy
 Cosmology
Article:
A Phase Space Diagram for Gravity
Entropy 2012, 14(5), 848855; doi:10.3390/e14050848
Received: 20 March 2012; in revised form: 18 April 2012 / Accepted: 18 April 2012 / Published: 4 May 2012
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Entropy 2012, 14(5), 958965; doi:10.3390/e14050958
Received: 16 April 2012; Accepted: 11 May 2012 / Published: 16 May 2012
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 Cited by 1  PDF Fulltext (214 KB)

Entropy 2012, 14(7), 11401153; doi:10.3390/e14071140
Received: 24 April 2012; in revised form: 21 May 2012 / Accepted: 21 May 2012 / Published: 25 June 2012
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 Cited by 1  PDF Fulltext (267 KB)

Entropy 2012, 14(7), 12031220; doi:10.3390/e14071203
Received: 1 May 2012; in revised form: 30 May 2012 / Accepted: 18 June 2012 / Published: 9 July 2012
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Article:
A Model of Nonsingular Universe
Entropy 2012, 14(7), 12961305; doi:10.3390/e14071296
Received: 19 April 2012; in revised form: 4 June 2012 / Accepted: 13 June 2012 / Published: 23 July 2012
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Article:
Stability of Accelerating Cosmology in Two ScalarTensor Theory: Little Rip versus de Sitter
Entropy 2012, 14(8), 15781605; doi:10.3390/e14081578
Received: 21 July 2012; in revised form: 14 August 2012 / Accepted: 16 August 2012 / Published: 23 August 2012
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Entropy 2012, 14(9), 16271651; doi:10.3390/e14091627
Received: 20 July 2012; in revised form: 17 August 2012 / Accepted: 21 August 2012 / Published: 4 September 2012
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 Cited by 7  PDF Fulltext (353 KB)

Entropy 2012, 14(9), 17171770; doi:10.3390/e14091717
Received: 12 July 2012; in revised form: 14 August 2012 / Accepted: 24 August 2012 / Published: 18 September 2012
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 Cited by 27  PDF Fulltext (1458 KB)

Entropy 2012, 14(9), 17711783; doi:10.3390/e14091771
Received: 21 August 2012; in revised form: 13 September 2012 / Accepted: 17 September 2012 / Published: 20 September 2012
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 Cited by 1  PDF Fulltext (538 KB)

Entropy 2012, 14(10), 19781996; doi:10.3390/e14101978
Received: 20 August 2012; in revised form: 23 September 2012 / Accepted: 27 September 2012 / Published: 18 October 2012
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 Cited by 1  PDF Fulltext (316 KB)

Entropy 2012, 14(10), 19972035; doi:10.3390/e14101997
Received: 18 September 2012; in revised form: 11 October 2012 / Accepted: 15 October 2012 / Published: 19 October 2012
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Entropy 2012, 14(11), 21432156; doi:10.3390/e14112143
Received: 7 September 2012; in revised form: 19 October 2012 / Accepted: 29 October 2012 / Published: 2 November 2012
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Article:
Viscosity in Modified Gravity
Entropy 2012, 14(11), 23022310; doi:10.3390/e14112302
Received: 19 October 2012; in revised form: 6 November 2012 / Accepted: 8 November 2012 / Published: 12 November 2012
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Entropy 2012, 14(11), 23512374; doi:10.3390/e14112351
Received: 27 August 2012; in revised form: 27 September 2012 / Accepted: 23 October 2012 / Published: 20 November 2012
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Article:
Entropy and Gravity
Entropy 2012, 14(12), 24562477; doi:10.3390/e14122456
Received: 26 October 2012; in revised form: 22 November 2012 / Accepted: 23 November 2012 / Published: 4 December 2012
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Entropy 2013, 15(1), 156161; doi:10.3390/e15010156
Received: 28 November 2012; Accepted: 25 December 2012 / Published: 8 January 2013
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Entropy 2013, 15(1), 162176; doi:10.3390/e15010162
Received: 28 August 2012; in revised form: 17 December 2012 / Accepted: 7 January 2013 / Published: 9 January 2013
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Last update: 25 February 2014