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 electrovacuum background spacetimes contains the Nariai, anti-Nariai, and Plebański-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 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.
- Received 15 May 2009
DOI:https://doi.org/10.1103/PhysRevD.80.024004
©2009 American Physical Society