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Stability of Einstein Static Universe within f(R, Φ) Framework
Arsal Kamal, M. Awais Sadiq, Rubab Manzoor, and Rizwan Jahangir
Abstract:
The aim of this work is to discuss the stability issues of the Einstein static cosmos in f(R,ϕ) theory, where R correspond to Ricci scalar and ϕ a scalar field. To this end, we considered a spherically symmetric spacetime and apply homogeneous scalar perturbations to the unperturbed field equations within this modified framework. The regions having stable solutions are determined by equation of state p = ωρ and we linearized the perturbed field equations for two distinct models of the f(R,ϕ) theory. In contrast to special theory of general relativity, we observe that, for f(R,ϕ) theory, Einstein universe is stable with (stability) cosmological constant exists. Consequently, the solutions which are not stable in general relativity can behave as stable due to the extensions of f(R,ϕ) theory.
Keywords:
Modified Theories; Exact Solutions; Perturbation Theory. PACS: 04.50.+h, 04.20.Jb, 04.25.Nx.
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