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Some high-frequency gravitational waves related to exact radiative spacetimes

Jiri Podolsky·Otakar Svitek
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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 hyperboloidal), 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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Jiri Podolsky, Otakar Svitek. 2003-10-16. Some high-frequency gravitational waves related to exact radiative spacetimes. https://doi.org/10.1023/b%3Agerg.0000010483.02257.90

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