Propagation of gravitational waves in various cosmological backgrounds

Abstract

The present work investigates some exact solutions of the gravitational wave equation in some widely used cosmological spacetimes. The examples are taken from spatially flat and closed isotropic models as well as Kasner metric which is anisotropic. Various matter distributions are considered, from the standard dust or radiation distribution to exotic matters like that with an equation of state $P=-\frac{1}{3}\rho$. In almost all cases the frequency and amplitude of the wave are found to be decaying with evolution, except for a closed radiation universe where there is a resurgence of the waveform, consistent with the recollapse of the universe into the big crunch singularity.

17 pages, 6 figures

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• Testing $f(T)$ Gravity with Cosmological Observations: Confronting the Hubble Tension and Implications for the Late-Time Universe
• Inferred Hubble Parameter from Gravitational Waves in a Perturbative Bianchi I Background
• On the propagation of gravitational waves in matter-filled Bianchi I universe
• The effect of redshift degeneracy and the damping effect of viscous medium on the information extracted from gravitational wave signals