Some high-frequency gravitational waves related to exact radiative spacetimes
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.
Keywords
Cite
@article{arxiv.gr-qc/0310084,
title = {Some high-frequency gravitational waves related to exact radiative spacetimes},
author = {Jiri Podolsky and Otakar Svitek},
journal= {arXiv preprint arXiv:gr-qc/0310084},
year = {2009}
}
Comments
14 pages, to appear in Gen. Relativ. Gravit