Sigbjørn Hervik et al 2004 Class. Quantum Grav. 21 575 doi:10.1088/0264-9381/21/2/018
Sigbjørn Hervik, Hari K Kunduri and James Lucietti
Show affiliationsWe 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, which 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.
04.20.Gz Spacetime topology, causal structure, spinor structure
98.80.Jk Mathematical and relativistic aspects of cosmology
04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 2 (21 January 2004)
Received 2 October 2003
Published 10 December 2003
Sigbjørn Hervik et al 2004 Class. Quantum Grav. 21 575
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