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.

arXiv commentSome references added

References in corpus (22)

• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Cosmic Evolution in a Cyclic Universe
• Absence of Singularity in Loop Quantum Cosmology
• A Cyclic Model of the Universe
• On Born-Infeld Gravity in Weitzenbock spacetime
• The Emergent Universe: inflationary cosmology with no singularity
• The Emergent Universe: An Explicit Construction
• Bouncing Braneworlds
• Designing Cyclic Universe Models
• An emergent universe from a loop
• On the Stability of the Einstein Static Universe
• Stability of the Einstein static universe in f(R) gravity
• Bouncing Universes with Varying Constants
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• Emergent Universe and Phantom Tachyon Model
• The Einstein static universe in Loop Quantum Cosmology
• Einstein static universes are unstable in generic f(R) models
• The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
• Qualitative Approach to Semi-Classical Loop Quantum Cosmology
• Inflationary Cosmology and Oscillating Universes in Loop Quantum Cosmology
• A Godel-Friedman cosmology?
• A note on the Casimir energy of a massive scalar field in positive curvature space

Cited by in corpus (30)

• Cosmological constant and vacuum energy: old and new ideas
• Stability of the Einstein static Universe in $f(R,T)$ gravity
• The stability of the Einstein static state in $f(T)$ gravity
• Einstein Static Universe in Exponential $f(T)$ Gravity
• Emergent universe from the Hořava-Lifshitz gravity
• Einstein Static Universe in Rastall Theory of Gravity
• The stability of Einstein static universe in the DGP braneworld
• Emergent Cosmology Revisited
• Stability of the Einstein static universe in Einstein-Cartan theory
• Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
• The Instabilities of Bianchi Type IX Einstein Static Universes
• Emergent scenario in the Einstein-Cartan theory
• Emergent Universe from Energy-Momentum Squared Gravity
• Holes in the static Einstein universe and the model of the cosmological voids
• Emergent universe in theories with natural UV cutoffs
• Einstein static universe from GUP
• Emergent universe in spatially flat cosmological model
• 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
• Nonsingular Cosmology from an Interacting Vacuum
• On the stability of Einstein static universe at background level in massive bigravity
• Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
• Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
• Noether symmetry in the Nash theory of gravity
• On the Stability of Einstein Universe in f(R,T,R_{μν}T^{μν}) Gravity
• Emergent scenario in mimetic gravity
• Non-singular model universe from a perfect fluid scalar-metric cosmology
• 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