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This article is cited in 8 scientific papers (total in 8 papers)
Deformed Hořava–Lifshitz cosmology and stability of the Einstein static universe
Y. Heydarzadea, M. Khodadib, F. Darabiac a Department of Physics, Azarbaijan Shahid Madani University, Tabriz, Iran
b Young Researchers and Elite Club, Firoozkooh Branch, Islamic Azad University,
Firoozkooh, Iran
c Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, Iran
Abstract:
We investigate the stability of the Einstein static universe under linear scalar, vector, and tensor perturbations in the context of a deformed Hořava-Lifshitz {(}HL{\rm)} cosmology related to entropic forces. We obtain a general stability condition under linear scalar perturbations. Using this general condition, we show that there is no stable Einstein static universe in the case of a flat universe $(k=0)$. In the special case of large values of the parameter $\omega$ of HL gravity in a positively curved universe $(k>0)$, the domination of the quintessence and phantom matter fields with a barotropic equation of state parameter $\beta<-1/3$ is necessary, while for a negatively curved universe $(k<0)$, matter fields with $\beta>-1/3$ must be the dominant fields of the universe. We also demonstrate a neutral stability under vector perturbations. We obtain an inequality including the cosmological parameters of the Einstein static universe for stability under tensor perturbations. It turns out that for large values of $\omega$, there is stability under tensor perturbations.
Keywords:
Hořava–Lifshitz cosmology, Einstein static universe, stability.
Received: 12.10.2015 Revised: 20.12.2015
Citation:
Y. Heydarzade, M. Khodadi, F. Darabi, “Deformed Hořava–Lifshitz cosmology and stability of the Einstein static universe”, TMF, 190:1 (2017), 150–161; Theoret. and Math. Phys., 190:1 (2017), 130–139
Linking options:
https://www.mathnet.ru/eng/tmf9066https://doi.org/10.4213/tmf9066 https://www.mathnet.ru/eng/tmf/v190/i1/p150
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Abstract page: | 408 | Full-text PDF : | 165 | References: | 54 | First page: | 26 |
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