Deformed Hořava–Lifshitz cosmology and stability of the Einstein static universe

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• 作者：Y. Heydarzade ; M. Khodadi ; F. Darabi
• 关键词：Hořava–Lifshitz cosmology ; Einstein static universe ; stability
• 刊名：Theoretical and Mathematical Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：190
• 期：1
• 页码：130-139
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Applications of Mathematics;
• 出版者：Pleiades Publishing
• ISSN：1573-9333
• 卷排序：190

文摘

We investigate the stability of the Einstein static universe under linear scalar, vector, and tensor perturbations in the context of a deformed Hoˇrava-Lifshitz (HL) 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 ω 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 β < −1/3 is necessary, while for a negatively curved universe (k < 0), matter fields with β > −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 ω, there is stability under tensor perturbations.