Exact Non-Singular Waves in the Anti-de Sitter Universe

Article

Exact Non-Singular Waves in the Anti-de Sitter Universe

Podolský, J.

Gen. Relativ. Gravit. 33(0), 1093-1113 (2001)

Abstract

A class of radiative solutions of Einstein's field equations with a negative cosmological constant and a pure radiation is investigated. The space-times, which generalize the Defrise solution, represent exact gravitational waves which interact with null matter and propagate in the anti-de Sitter universe. Interestingly, these solutions have homogeneous and non-singular wave-fronts for all freely moving observers. We also study properties of sandwich and impulsive waves which can be constructed in this class of space-times.

Institute authors

Podolský, Jiří

Supported by

GACR 202/99/0261 — Relativistic physics and astrophysics
GAUK 141/2000 — Relativistická teorie gravitace, astrofyzika a kosmologie

BibTeX

@article{UTF162,
  author        = {Podolský, J.},
  title         = {{Exact Non-Singular Waves in the Anti-de Sitter Universe}},
  journal       = {Gen. Relativ. Gravit.},
  volume        = {33},
  number        = {0},
  pages         = {1093-1113},
  year          = {2001},
  doi           = {10.1023/A:1010284400184},
  eprint        = {gr-qc/0010084},
  archivePrefix = {arXiv},
  url           = {http://springerlink.metapress.com/content/h7077n4340206163/fulltext.pdf},
}