Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
Gen. Relativ. Gravit. 36(0), 387-401 (2004)
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.
@article{UTF172,
author = {Podolský, J and Svítek, O.},
title = {{Some high-frequency gravitational waves related to exact radiative spacetimes}},
journal = {Gen. Relativ. Gravit.},
volume = {36},
number = {0},
pages = {387-401},
year = {2004},
doi = {10.1023/B:GERG.0000010483.02257.90},
eprint = {gr-qc/0310084},
archivePrefix = {arXiv},
url = {http://www.springerlink.com/content/n616h2806p860471/fulltext.pdf},
}