Interpretation of the Siklos solutions as exact gravitational waves in the anti - de Sitter universe.

Article

Interpretation of the Siklos solutions as exact gravitational waves in the anti - de Sitter universe.

Podolský, J.

Class. Quantum Grav. 15(0), 719-733 (1998)

Abstract

The Siklos class of solutions of Einstein's field equations is investigated by analytical methods. Studying the behaviour of free particles, the author concludes that the spacetimes represent exact gravitational waves propagating in the anti - de Sitter universe. The presence of a negative cosmological constant implies that the "background" space is not asymptotically flat and requires "rotating" reference frames in order to fully simplify and view the behaviour of nearby test particles. The Kaigorodov spacetime, which is the simplest representative of the Siklos class, is analysed in more detail. It is argued that it may serve as a "cosmological" analogue of the well known homogeneous pp-waves in a flat universe.

Keywords

GRG

Institute authors

Podolský, Jiří

Supported by

GACR 202/96/0206 — Relativistic physics and astrophysics
GAUK 230/1996 — Relativistická teorie gravitace, astrofyzika a kosmologie

BibTeX

@article{UTF142,
  author        = {Podolský, J.},
  title         = {{Interpretation of the Siklos solutions as exact gravitational waves in the anti - de Sitter universe.}},
  journal       = {Class. Quantum Grav.},
  volume        = {15},
  number        = {0},
  pages         = {719-733},
  year          = {1998},
  doi           = {10.1088/0264-9381/15/3/019},
  eprint        = {gr-qc/9801052},
  archivePrefix = {arXiv},
  url           = {http://www.iop.org/EJ/article/0264-9381/15/3/019/q80317.pdf},
}