Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes

Article

Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes

Podolský, J; Ortaggio, M.

Class. Quantum Grav. 20(0), 1685-1701 (2003)

doi ↗ arXiv:gr-qc/0212073 ↗ link ↗

Abstract

A particular yet large class of non-diverging solutions which admits a cosmological constant, electromagnetic field, pure radiation and/or general non-null matter component is explicitly presented. These spacetimes represent exact gravitational waves of arbitrary profiles which propagate in background universes such as Minkowski, conformally flat (anti-)de Sitter, Edgar-Ludwig, Bertotti-Robinson, and type D (anti-)Nariai or Plebanski-Hacyan spaces, and their generalizations. All possibilities are discussed and are interpreted using a unifying simple metric form. Sandwich and impulsive waves propagating in the above background spaces with different geometries and matter content can easily be constructed. New solutions are identified, e.g. type D pure radiation or explicit type II electrovacuum waves in (anti-)Nariai universe. It is also shown that, in general, there are no conformally flat Einstein-Maxwell fields with a non-vanishing cosmological constant.

Institute authors

Podolský, Jiří

Supported by

GACR 202/02/0735 — Relativistic physics and astrophysics 2002-04

BibTeX

@article{UTF167,
  author        = {Podolský, J and Ortaggio, M.},
  title         = {{Explicit Kundt type II and N solutions as gravitational waves in various type D and O universes}},
  journal       = {Class. Quantum Grav.},
  volume        = {20},
  number        = {0},
  pages         = {1685-1701},
  year          = {2003},
  doi           = {10.1088/0264-9381/20/9/307},
  eprint        = {gr-qc/0212073},
  archivePrefix = {arXiv},
  url           = {http://www.iop.org/EJ/article/0264-9381/20/9/307/q30907.pdf},
}