Abstract
A formalism is introduced which may describe both standard linearized waves and gravitational waves in Isaacson's high-frequency limit. After emphasizing main differences between the two approximation techniques we generalize the Isaacson method to non-vacuum spacetimes. Then we present three large explicit classes of solutions for high-frequency gravitational waves in particular backgrounds. These involve non-expanding (plane, spherical or hyperbolical), cylindrical, and expanding (spherical) waves propagating in various universes which may contain a cosmological constant and electromagnetic field. Relations of high-frequency gravitational perturbations of these types to corresponding exact radiative spacetimes are described.
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Podolský, J., Svítek, O. Some High-Frequency Gravitational Waves Related to Exact Radiative Spacetimes. General Relativity and Gravitation 36, 387–401 (2004). https://doi.org/10.1023/B:GERG.0000010483.02257.90
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DOI: https://doi.org/10.1023/B:GERG.0000010483.02257.90