Quick search Find article
Quick search
Find article

Homogeneous plane-wave spacetimes and their stability

Sigbjørn Hervik, Hari K Kunduri and James Lucietti

Show affiliations


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, 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.


PACS

04.20.Gz Spacetime topology, causal structure, spinor structure

04.20.Jb Exact solutions

98.80.Jk Mathematical and relativistic aspects of cosmology

04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations

MSC

83F05 Cosmology

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 2 (21 January 2004)

Received 2 October 2003

Published 10 December 2003



View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.