On the stability of Einstein static universe at background level in massive bigravity

Abstract

We study the static cosmological solutions and their stability at background level in the framework of massive bigravity theory with Friedmann-Robertson-Walker (FRW) metrics. By the modification proposed in the cosmological equations subject to a perfect fluid we obtain new solutions interpreted as the Einstein static universe. It turns out that the non-vanishing size of initial scale factor of Einstein static universe depends on the non-vanishing three-dimensional spatial curvature of FRW metrics and also the graviton's mass. By dynamical system approach and numerical analysis, we find that the extracted solutions for closed and open universes can be stable for some viable ranges of equation of state parameter, viable values of fraction of two scale factors, and viable values of graviton's mass obeying the hierarchy $m<<M_{P}l$ which is more cosmologically motivated.

14 pages, 8 figures, 5 tables, major revision

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Cited by in corpus (14)

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• Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
• On the initial singularity in Kantowski-Sachs spacetime
• Emergent scenario in mimetic gravity
• Lemaitre-Tolman-Bondi Static Universe in Rastall-like Gravity
• Analytical approximations for primordial power spectra in a spatially closed emergent universe
• Cosmological Singularities in Conformal Weyl Gravity
• Cosmological future singularities in massive gravity and massive bigravity
• Emergent Cosmology in 4D Einstein Gauss Bonnet Theory of Gravity
• Oscillating universe in massive bigravity
• Stability of the Einstein Static Universe in Zero-Point Length Cosmology with Topological Defects