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Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University

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Article

Some high-frequency gravitational waves related to exact radiative spacetimes

Podolský, J; Svítek, O.

Gen. Relativ. Gravit. 36(0), 387-401 (2004)

doi ↗ arXiv:gr-qc/0310084 ↗ link ↗

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.

Supported by

  • GACR 202/02/0735 — Relativistic physics and astrophysics 2002-04
  • GAUK 166/2003 — Relativistická teorie gravitace, astrofyzika a kosmologie

BibTeX

@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},
}