Metric Perturbation Approach to Gravitational Waves in Isotropic Cosmologies

Abstract

Gravitational waves in isotropic cosmologies were recently studied using the gauge-invariant approach of Ellis-Bruni. We now construct the linearised metric perturbations of the background Robertson-Walker space-time which reproduce the results obtained in that study. The analysis carried out here also facilitates an easy comparison with Bardeen.

arXiv comment29 pages, Latex file, accepted for publication in Physical Review D

References in corpus (2)

• Covariant double-null dynamics: $(2+2)$-splitting of the Einstein equations
• Gravitational Wave Propagation in Isotropic Cosmologies

Cited by in corpus (3)

• Evolution of high-frequency gravitational waves in some cosmological models
• The Quasi-Maxwellian Equations of General Relativity: Applications to the Perturbation Theory
• Rotations of the polarization of a gravitational wave propagating in Universe