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Classical and Quantum Gravity

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Classical and Quantum Gravity Volume 20 Number 11 Create an alert RSS this journal

John D Barrow et al 2003 Class. Quantum Grav. 20 L155 doi:10.1088/0264-9381/20/11/102

On the stability of the Einstein static universe

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John D Barrow1, George F R Ellis2, Roy Maartens2,3 and Christos G Tsagas2

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Abstract References Cited By

LETTER TO THE EDITOR

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 c2s > 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 destabilize an Einstein static universe. The implications of these results for the initial state of the universe and its pre-inflationary evolution are also discussed.


PACS

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

95.30.Lz Hydrodynamics

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

MSC

85A40 Cosmology (For relativistic cosmology, see 83F05)

85A30 Hydrodynamic and hydromagnetic problems (See also 76Y05)

Subjects

Fluid dynamics

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 11 (7 June 2003)

Received 27 February 2003

Published 2 May 2003



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