Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories
Along this review, we focus on the study of several properties of modified gravity theories, in particular on black-hole solutions and its comparison with those solutions in General Relativity, and on Friedmann–Lemaˆıtre–Robertson–Walker metrics. The thermodynamical properties of fourth order gravit...
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MDPI AG
2012-09-01
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Series: | Entropy |
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Online Access: | http://www.mdpi.com/1099-4300/14/9/1717 |
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author | Diego Sáez-Gómez Alvaro de la Cruz-Dombriz |
author_facet | Diego Sáez-Gómez Alvaro de la Cruz-Dombriz |
author_sort | Diego Sáez-Gómez |
collection | DOAJ |
description | Along this review, we focus on the study of several properties of modified gravity theories, in particular on black-hole solutions and its comparison with those solutions in General Relativity, and on Friedmann–Lemaˆıtre–Robertson–Walker metrics. The thermodynamical properties of fourth order gravity theories are also a subject of this investigation with special attention on local and global stability of paradigmatic f(R) models. In addition, we revise some attempts to extend the Cardy–Verlinde formula, including modified gravity, where a relation between entropy bounds is obtained. Moreover, a deep study on cosmological singularities, which appear as a real possibility for some kind of modified gravity theories, is performed, and the validity of the entropy bounds is studied. |
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format | Article |
id | doaj.art-ac7c481faec64ab790eb2a5b29cead68 |
institution | Directory Open Access Journal |
issn | 1099-4300 |
language | English |
last_indexed | 2024-04-11T20:42:46Z |
publishDate | 2012-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Entropy |
spelling | doaj.art-ac7c481faec64ab790eb2a5b29cead682022-12-22T04:04:10ZengMDPI AGEntropy1099-43002012-09-011491717177010.3390/e14091717Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity TheoriesDiego Sáez-GómezAlvaro de la Cruz-DombrizAlong this review, we focus on the study of several properties of modified gravity theories, in particular on black-hole solutions and its comparison with those solutions in General Relativity, and on Friedmann–Lemaˆıtre–Robertson–Walker metrics. The thermodynamical properties of fourth order gravity theories are also a subject of this investigation with special attention on local and global stability of paradigmatic f(R) models. In addition, we revise some attempts to extend the Cardy–Verlinde formula, including modified gravity, where a relation between entropy bounds is obtained. Moreover, a deep study on cosmological singularities, which appear as a real possibility for some kind of modified gravity theories, is performed, and the validity of the entropy bounds is studied.http://www.mdpi.com/1099-4300/14/9/171798.80.-k04.50.+h |
spellingShingle | Diego Sáez-Gómez Alvaro de la Cruz-Dombriz Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories Entropy 98.80.-k 04.50.+h |
title | Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories |
title_full | Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories |
title_fullStr | Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories |
title_full_unstemmed | Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories |
title_short | Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories |
title_sort | black holes cosmological solutions future singularities and their thermodynamical properties in modified gravity theories |
topic | 98.80.-k 04.50.+h |
url | http://www.mdpi.com/1099-4300/14/9/1717 |
work_keys_str_mv | AT diegosaezgomez blackholescosmologicalsolutionsfuturesingularitiesandtheirthermodynamicalpropertiesinmodifiedgravitytheories AT alvarodelacruzdombriz blackholescosmologicalsolutionsfuturesingularitiesandtheirthermodynamicalpropertiesinmodifiedgravitytheories |