Some High-Frequency Gravitational Waves Related to Exact Radiative Spacetimes |
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Authors: | J. Podolský O. Svítek |
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Affiliation: | (1) Institute of Theoretical Physics, Charles University in Prague, V Holeovikách 2, 180 00 Prague 8, Czech Republic |
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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 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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Keywords: | gravitational waves high-frequency limit exact solutions |
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