The Einstein static universe in Loop Quantum Cosmology
Luca Parisi, Marco Bruni, Roy Maartens, Kevin Vandersloot
TL;DR
This paper explores how Loop Quantum Cosmology (LQC) modifications can stabilize the Einstein static universe, which is unstable in classical General Relativity, especially with a positive cosmological constant.
Contribution
It demonstrates that LQC corrections can induce stability in the Einstein static universe for sufficiently large positive cosmological constants.
Findings
LQC removes the classical instability of the Einstein static universe.
A stable center can exist for large positive Lambda due to LQC effects.
LQC modifies high-energy dynamics, affecting cosmological stability.
Abstract
Loop Quantum Cosmology strongly modifies the high-energy dynamics of Friedman-Robertson-Walker models and removes the big-bang singularity. We investigate how LQC corrections affect the stability properties of the Einstein static universe. In General Relativity, the Einstein static model with positive cosmological constant Lambda is unstable to homogeneous perturbations. We show that LQC modifications can lead to a centre of stability for a large enough positive value of Lambda.
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