Stability of the Einstein static universe in presence of vacuum energy

Abstract

The Einstein static universe has played a central role in a number of emergent scenarios recently put forward to deal with the singular origin of the standard cosmological model. Here we study the existence and stability of the Einstein static solution in presence of vacuum energy corresponding to conformally-invariant fields. We show that the presence of vacuum energy stabilizes this solution by changing it to a centre equilibrium point, which is cyclically stable. This allows non-singular emergent cosmological models to be constructed in which initially the universe oscillates indefinitely about an initial Einstein static solution and is thus past eternal.

Some references added

References in corpus (7)

• On Born-Infeld Gravity in Weitzenbock spacetime
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• Emergent Universe and Phantom Tachyon Model
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Cited by in corpus (7)

• Emergent Universe from Energy-Momentum Squared Gravity
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
• Nonsingular Cosmology from an Interacting Vacuum
• Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
• Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
• Emergent scenario in mimetic gravity
• Analytical approximations for primordial power spectra in a spatially closed emergent universe