Stability of the Einstein static Universe in the scalar–tensor theory of gravity. (13th October 2016)

• Record Type: Journal Article
• Authors: Miao, Haitao; Wu, Puxun; Yu, Hongwei
• Is Part Of: Classical and quantum gravity. Volume 33:Number 21(2016:Nov.)
• Publication Date: 2016-10-13
• Subjects: big bang singularity -- emergent Universe -- Einstein static Universe -- scalar–tensor theory; 98.80.Cq -- 04.50.Kd; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/33/21/215011
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: In this paper, we study the viability of a singularity-free emergent scenario in the scalar–tensor theory of gravity by analyzing the stability of the Einstein static (ES) Universe. In order to obtain analytical results, we assume the perfect fluid which fills our Universe to be radiation or pressureless matter. We find that there are no stable ES solutions when scalar perturbations and tensor ones are considered together. Thus, in the scalar–tensor theory of gravity with a normal perfect fluid, such as radiation or pressureless matter, the emergent mechanism cannot be used to avoid the big bang singularity as the Universe cannot stay at the ES state past-eternally.