Homogeneous Plane-wave Spacetimes and their Stability

Details Homogeneous Plane-wave Spacetimes and their Stability Homogeneous Plane-wave Spacetimes and their Stability

2003-10-02

arxiv.org/abs/gr-qc/0310013v2

Class.Quant.Grav. 21 (2004) 575-588

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figures; minor changes, new references, to appear in CQG

Scientific paper

10.1088/0264-9381/21/2/018

We consider the stability of spatially homogeneous plane-wave spacetimes. We carry out a full analysis for plane-wave spacetimes in (4+1) dimensions, and find there are two cases to consider; what we call non-exceptional and exceptional. In the non-exceptional case the plane waves are stable to (spatially homogeneous) vacuum perturbations as well as a restricted set of matter perturbations. In the exceptional case we always find an instability. Also we consider the Milne universe in arbitrary dimensions and find it is also stable provided the strong energy condition is satisfied. This implies that there exists an open set of stable plane-wave solutions in arbitrary dimensions.

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