Gyratons on direct-product spacetimes

Hedvika Kadlecová, Andrei Zelnikov, Pavel Krtouš, and Jiří Podolský
Phys. Rev. D 80, 024004 – Published 7 July 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 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

Authors & Affiliations

Hedvika Kadlecová1,*, Andrei Zelnikov2,†, Pavel Krtouš1,‡, and Jiří Podolský1,§

  • 1Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00 Prague 8, Czech Republic
  • 2Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2J1

  • *hedvika.kadlecova@centrum.cz
  • zelnikov@phys.ualberta.ca
  • Pavel.Krtous@utf.mff.cuni.cz
  • §podolsky@mbox.troja.mff.cuni.cz

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Issue

Vol. 80, Iss. 2 — 15 July 2009

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