Emergent universe in spatially flat cosmological model

Abstract

The scenario of an emergent universe provides a promising resolution to the big bang singularity in universes with positive or negative spatial curvature. It however remains unclear whether the scenario can be successfully implemented in a spatially flat universe which seems to be favored by present cosmological observations. In this paper, we study the stability of Einstein static state solutions in a spatially flat Shtanov-Sahni braneworld scenario. With a negative dark radiation term included and assuming a scalar field as the only matter energy component, we find that the universe can stay at an Einstein static state past eternally and then evolve to an inflation phase naturally as the scalar field climbs up its potential slowly. In addition, we also propose a concrete potential of the scalar field that realizes this scenario.

16 pages, 8 figures

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• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
• Emergent scenario in mimetic gravity
• Non-singular model universe from a perfect fluid scalar-metric cosmology
• CMB power spectrum in the emergent universe with k-essence
• Einstein Static Universe and its Stability in Generalized Rastall Gravity
• Einstein's Field Equations as a Fold Bifurcation
• Analytical approximations for primordial power spectra in a spatially closed emergent universe
• CMB power spectrum for emergent scenario and slow expansion in scalar-tensor theory of gravity
• Cosmic constraint on the unified model of dark sectors with or without a cosmic string fluid in the varying gravitational constant theory
• Emergent universe revisited through the CSL theory
• Emergent universe: tensor perturbations within the CSL framework