Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling

Abstract

The emergent mechanism provides a possible way to resolve the big bang singularity problem by assuming that our universe originates from the Einstein static (ES) state. Thus, the existence of a stable ES solution becomes a very crucial prerequisite for the emergent scenario. In this paper, we study the stability of an ES universe in gravity theory with a non-minimal coupling between the kinetic term of a scalar field and the Einstein tensor. We find that the ES solution is stable under both scalar and tensor perturbations when the model parameters satisfy certain conditions, which indicates that the big bang singularity can be avoided successfully by the emergent mechanism in the non-minimally kinetic coupled gravity.

19 pages, 1 figure, reference added

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• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
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• Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
• Thick brane in reduced Horndeski theory
• Spontaneous Momentum Dissipation and Coexistence of Phases in Holographic Horndeski Theory
• Emergent scenario in mimetic gravity
• CMB power spectrum in the emergent universe with k-essence
• Analytical approximations for primordial power spectra in a spatially closed emergent universe
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• Evolution of the early universe in Einstein-Cartan theory
• Stability of the Einstein Static Universe in Zero-Point Length Cosmology with Topological Defects