Eur. Phys. J. C (2009) 64: 439-444
https://doi.org/10.1140/epjc/s10052-009-1153-5

Regular Article - Theoretical Physics

Exact solutions of noncommutative vacuum Einstein field equations and plane-fronted gravitational waves

¹ Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
² School of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia

^* e-mail: rzhang@maths.usyd.edu.au

Received: 19 August 2009
Revised: 27 August 2009
Published online: 24 September 2009

Abstract

We construct a class of exact solutions of the noncommutative Einstein field equations in the vacuum, which are noncommutative analogues of the plane-fronted gravitational waves in classical gravity.