Linearization Instability of Gravitational Waves Interacting with Matter in General Relativity

Details Linearization Instability of Gravitational Waves Interacting with Matter in General Relativity Linearization Instability of Gravitational Waves Interacting with Matter in General Relativity

1996-03-24

arxiv.org/abs/astro-ph/9603128v2

Astronomy and Astrophysics

Astrophysics

14 pages, RevTex, no figures. Changes in notation

Scientific paper

The gravitational wave solutions obtained from a perturbation about conformally flat backgrounds in Einstein gravity are investigated. A perturbation theory analysis of the Lesame, Ellis and Dunsby results, based on a covariant approach, shows that for gravitational waves interacting with irrotational dust, the equations are linearization unstable. The gravitational wave equations based on the Weyl curvature tensor must be solved by non-perturbative methods. The significance of this result for gravitational wave calculations and experiments is discussed.

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