1997/05/01 by Peter Dunsby, Peter K S Dunsby, Bruce Bassett +3 · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1088/0264-9381/14/5/023
published as Class.Quant.Grav. 14 (1997) 1215-1222 · 11 pages, LaTeX
openalex publication_date 1997/05/01 · arxiv created 1998/11/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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 second-order wave equations, for perfect fluids with a -law equation of state satisfying , the electric part of the Weyl tensor satisfies a linear homogeneous third-order equation. Solutions to these equations are obtained for a flat Friedmann - Robertson - Walker background and we discuss implications of this result.