Gyratons on direct-product spacetimes
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.
Keywords
Cite
@article{arxiv.0905.2476,
title = {Gyratons on direct-product spacetimes},
author = {Hedvika Kadlecova and Andrei Zelnikov and Pavel Krtous and Jiri Podolsky},
journal= {arXiv preprint arXiv:0905.2476},
year = {2009}
}
Comments
22 pages, no figures, contains some material not included in the journal version