Einstein static universe from GUP

Abstract

We consider the existence and stability of the Einstein static universe under the Generalized Uncertainty Principle (GUP) effects. We show that this solution in the presence of perfect fluid with a minimal length is cyclically stable around a center equilibrium point. By taking linear homogeneous perturbations, we find that the scale factor of Einstein static universe for closed deformed isotropic and homogeneous FLRW universe depends on the GUP coupling parameter $\alpha$. Thus, in the model by GUP effects, our universe can stay at the Einstein static state past-eternally, which means that the big bang singularity might be resolved successfully by an emergent scenario.

10 pages, 3 figures, 5 tables, references added, some corrections added

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Cited by in corpus (15)

• 30 years in: Quo vadis generalized uncertainty principle?
• Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
• Emergent Universe Scenario, Bouncing and Cyclic Universes in Degenerate Massive Gravity
• Emergent scenario in mimetic gravity
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• CMB power spectrum in the emergent universe with k-essence
• Lemaitre-Tolman-Bondi Static Universe in Rastall-like Gravity
• 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
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario
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• Einstein static universe, GUP, and natural IR and UV cut-offs
• Stability of the Einstein Static Universe in Zero-Point Length Cosmology with Topological Defects