Interpretation of the Siklos solutions as exact gravitational waves in the anti-de Sitter universe

Abstract

The Siklos class of solutions of Einstein's field equations is investigated by analytical methods. By studying the behaviour of free particles we reach the conclusion that the space-times represent exact gravitational waves propagating in the anti-de Sitter universe. The presence of a negative cosmological constant implies that the 'background' space is not asymptotically flat and requires a 'rotating' reference frames in order to fully simplify and view the behaviour of nearby test particles. The Kaigorodov space-time, which is the simplest representative of the Siklos class, is analyzed in more detail. It is argued that it may serve as a 'cosmological' analogue of the well-known homogeneous pp-waves in the flat universe.

17 pages, to be published in Class. Quantum Gravity

References in corpus (1)

• Impulsive waves in de Sitter and anti-de Sitter space-times generated by null particles with an arbitrary multipole structure

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