Covariant Analysis of Gravitational Waves in a Cosmological Context

Details Covariant Analysis of Gravitational Waves in a Cosmological Context Covariant Analysis of Gravitational Waves in a Cosmological Context

1998-11-27

arxiv.org/abs/gr-qc/9811092v1

Class.Quant.Grav. 14 (1997) 1215-1222

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX

Scientific paper

10.1088/0264-9381/14/5/023

The propagation of gravitational waves or tensor perturbations in a perturbed Friedmann-Robertson-Walker universe filled with a perfect fluid is re-examined. It is shown that while the shear and magnetic part of the Weyl tensor satisfy linear, homogeneous {\it second order} wave equations, for perfect fluids with a $\gamma$\hs law equation of state satisfying $\case{2}/{3}<\gamma<2$, the electric part of the Weyl tensor satisfies a linear homogeneous {\it third order} equation. Solutions to these equations are obtained for a flat Friedmann-Robertson-Walker background and we discuss implications of this result.

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