Gravitational Wave Propagation in Isotropic Cosmologies

Details Gravitational Wave Propagation in Isotropic Cosmologies Gravitational Wave Propagation in Isotropic Cosmologies

2002-04-15

arxiv.org/abs/gr-qc/0204050v1

Phys.Rev. D65 (2002) 124017; Erratum-ibid. D70 (2004) 029902

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, accepted for publication in Phys.Rev. D

Scientific paper

10.1103/PhysRevD.65.124017

We study the propagation of gravitational waves carrying arbitrary information through isotropic cosmologies. The waves are modelled as small perturbations of the background Robertson-Walker geometry. The perfect fluid matter distribution of the isotropic background is, in general, modified by small anisotropic stresses. For pure gravity waves, in which the perturbed Weyl tensor is radiative (i.e. type N in the Petrov classification), we construct explicit examples for which the presence of the anisotropic stress is shown to be essential and the histories of the wave-fronts in the background Robertson-Walker geometry are shear-free null hypersurfaces. The examples derived in this case are analogous to the Bateman waves of electromagnetic theory.

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