\(F(R)\) gravity's rainbow and its Einstein counterpart
type: Item
instance of: scholarly article
title: \(F(R)\) gravity's rainbow and its Einstein counterpart
zbMATH Open document ID: 1366.83077
DOI: 10.1155/2016/9813582
author: Yanyan Li
published in: Advances in High Energy Physics
publication date: 2017-07-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/1607.03383
review text: Summary: Motivated by UV completion of general relativity with a modification of a geometry at high energy scale, it is expected to have an energy dependent geometry. In this paper, we introduce charged black hole solutions with power Maxwell invariant source in the context of gravity's rainbow. In addition, we investigate two classes of \(F(R)\) gravity's rainbow solutions. At first, we study energy dependent \(F(R)\) gravity without energy-momentum tensor, and then we obtain \(F(R)\) gravity's rainbow in the presence of conformally invariant Maxwell source. We study geometrical properties of the mentioned solutions and compare their results. We also give some related comments regarding thermodynamical behavior of the obtained solutions and discuss thermal stability of the solutions.
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 83C22
zbMATH DE Number: 6748359
Wikidata QID: Q59121936
MaRDI profile type: Publication
OpenAlex ID: W3103271028
arXiv ID: 1607.03383
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