Gyratons on direct-product spacetimes

Article

Gyratons on direct-product spacetimes

Kadlecová, H.; Zelnikov, A.; Krtouš, P.; Podolský, J.

Phys. Rev. D 80, 024004 (2009)

Abstract

We present and analyze exact gyraton and nonexpanding gravitational wave solutions of algebraic type II on backgrounds which are a direct-product of two 2-spaces of constant curvature, or more general type D spacetimes. This family of electro-vacuum background spacetimes contains the Nariai, anti-Nariai and Plebanski-Hacyan universes, conformally flat Bertotti-Robinson and Minkowski spaces. The gyraton solutions are given in a simple Kundt metric form. They belong to the recently discussed class of spacetimes with constant scalar invariants (CSI) of the curvature tensor. We show that the Einstein equations reduce to a set of linear equations on the transverse 2-space which can be explicitly solved using the Green functions.

Institute authors

Supported by

GACR 202/08/0187 — Exact solutions in higher dimensional and classical gravity
GACR 202/09/0772 — Current problems of gravitation, general relativity and relativistic astrophysics
GACR 205/09/H033 — General relativity and its applications in astrophysics and cosmology
LC06014 — Centrum teoretické astrofyziky

BibTeX

@article{UTF380,
  author        = {Kadlecová, H. and Zelnikov, A. and Krtouš, P. and Podolský, J.},
  title         = {{Gyratons on direct-product spacetimes}},
  journal       = {Phys. Rev. D},
  volume        = {80},
  pages         = {024004},
  year          = {2009},
  doi           = {10.1103/PhysRevD.80.024004},
  eprint        = {0905.2476},
  archivePrefix = {arXiv},
}