Inhomogeneous perturbations of plane-wave spacetimes

Details Inhomogeneous perturbations of plane-wave spacetimes Inhomogeneous perturbations of plane-wave spacetimes

2005-05-20

arxiv.org/abs/gr-qc/0505108v2

Class.Quant.Grav. 22 (2005) 3391-3398

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, to appear in CQG

Scientific paper

10.1088/0264-9381/22/17/002

Recently it was shown that the exact cosmological solutions known as the vacuum plane-wave solutions are late-time attractors for an open set of the spatially homogeneous Bianchi universes containing a non-inflationary $\gamma$-law perfect fluid. In this paper we study inhomogeneous perturbations of these plane-wave spacetimes. By using expansion-normalised scale-invariant variables we show that these solutions are unstable to generic inhomogeneous perturbations. The crucial observation for establishing this result is a divergence of the expansion-normalised frame variables which ultimately leads to unstable modes.

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