On the Stability of the Einstein Static Universe

Details On the Stability of the Einstein Static Universe On the Stability of the Einstein Static Universe

2003-02-24

arxiv.org/abs/gr-qc/0302094v2

Class.Quant.Grav.20:L155-L164,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

some additional comments and references; version to appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/20/11/102

We show using covariant techniques that the Einstein static universe containing a perfect fluid is always neutrally stable against small inhomogeneous vector and tensor perturbations and neutrally stable against adiabatic scalar density inhomogeneities so long as c_{s}^2>1/5, and unstable otherwise. We also show that the stability is not significantly changed by the presence of a self-interacting scalar field source, but we find that spatially homogeneous Bianchi type IX modes destabilise an Einstein static universe. The implications of these results for the initial state of the universe and its pre-inflationary evolution are also discussed.

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