Some high-frequency gravitational waves related to exact radiative spacetimes

Details Some high-frequency gravitational waves related to exact radiative spacetimes Some high-frequency gravitational waves related to exact radiative spacetimes

2003-10-16

arxiv.org/abs/gr-qc/0310084v1

Gen.Rel.Grav. 36 (2004) 387-401

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, to appear in Gen. Relativ. Gravit

Scientific paper

10.1023/B:GERG.0000010483.02257.

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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