Black Holes, Cosmological Solutions, Future Singularities, and Their Thermodynamical Properties in Modified Gravity Theories

被引:303
作者
de la Cruz-Dombriz, Alvaro [1 ,2 ]
Saez-Gomez, Diego [3 ]
机构
[1] Univ Cape Town, ACGC, ZA-7701 Cape Town, South Africa
[2] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Cape Town, South Africa
[3] Euskal Herriko Unibertsitatea, Zientzia & Teknol Fak, Fis Teorikoaren & Zientziaren Hist Saila, Bilbao 48080, Spain
关键词
98.80.-k; 04.50.+h; CARDY-VERLINDE FORMULA; EQUATION-OF-STATE; F(R) GRAVITY; DARK ENERGY; EXTENDED THEORIES; APPARENT HORIZON; FRW UNIVERSE; QUANTUM; DESITTER; CONSTANT;
D O I
10.3390/e14091717
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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-Lemaitre-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.
引用
收藏
页码:1717 / 1770
页数:54
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