Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
type: Item
instance of: scholarly article
title: Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
zbMATH Open document ID: 1297.83018
author: Álvaro de la Cruz-Dombriz
author: Diego Sáez-Gómez
published in: Entropy
publication date: 2014-09-08T00:00:00Z
full work available at URL: https://arxiv.org/abs/1207.2663
review text: Summary: 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-Lemaître-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.
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83C15
Mathematics Subject Classification ID: 83F05
Mathematics Subject Classification ID: 83C75
Mathematics Subject Classification ID: 80A10
zbMATH DE Number: 6341039
zbMATH Keywords: black holes
zbMATH Keywords: cosmological solutions
zbMATH Keywords: future singularities
zbMATH Keywords: modified gravity theories
zbMATH Keywords: Friedmann-Lemaître-Robertson-Walker metrics
zbMATH Keywords: thermodynamical properties of fourth order gravity theories
zbMATH Keywords: entropy
zbMATH Keywords: cosmological singularities
MaRDI profile type: Publication
OpenAlex ID: W3103583541
arXiv ID: 1207.2663
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