Evolution of high-frequency gravitational waves in some cosmological models
Otakar Svitek, Jiri Podolsky

TL;DR
This paper studies how high-frequency gravitational waves evolve over time in different cosmological models, including FRW, de Sitter, anti-de Sitter, and Kasner spacetimes, providing explicit Fourier space solutions.
Contribution
It provides explicit Fourier space solutions for high-frequency gravitational waves in various cosmological backgrounds, extending understanding of their behavior in these models.
Findings
High-frequency waves in FRW and (anti-)de Sitter spacetimes are explicitly characterized.
Wave behavior in anisotropic Kasner spacetime is described.
Results enhance understanding of gravitational wave propagation in cosmological contexts.
Abstract
We investigate Isaacson's high-frequency gravitational waves which propagate in some relevant cosmological models, in particular the FRW spacetimes. Their time evolution in Fourier space is explicitly obtained for various metric forms of (anti--)de Sitter universe. Behaviour of high-frequency waves in the anisotropic Kasner spacetime is also described.
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