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On the Stability of the Einstein Static Universe

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arxiv gr-qc/0302094 v2 pith:CPP5W5XW submitted 2003-02-24 gr-qc astro-ph

John D Barrow (1) , George Ellis (2) , Roy Maartens (3) , Christos Tsagas (2) ((1) Cambridge , (2) Cape Town , (3) Portsmouth) This is my paper · ORCID
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keywords universeeinsteinstaticneutrallyscalarstabilitystableadiabatic
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Friedmann-Lema\^itre universes and their metamorphoses

    gr-qc 2024-11 reject novelty 5.0 of 10

    The FL equations are claimed to reduce to four inequivalent versal unfoldings that generate nonsmooth, singularity-free 'metamorphosing' cosmologies.

  2. Classical and Semiclassical Stability of Emergent Universes in Jordan-Brans-Dicke Theory

    gr-qc 2021-08 unverdicted novelty 5.0 of 10

    In Jordan-Brans-Dicke theory, the Einstein static universe can be made robust against classical perturbations and representative semiclassical tunneling channels by appropriate choices of the JBD potential and model p...

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