Exact non-singular waves in the anti-de Sitter universe

Abstract

A class of radiative solutions of Einstein's field equations with a negative cosmological constant and a pure radiation is investigated. The space-times, which generalize the Defrise solution, represent exact gravitational waves which interact with null matter and propagate in the anti-de Sitter universe. Interestingly, these solutions have homogeneous and non-singular wave-fronts for all freely moving observers. We also study properties of sandwich and impulsive waves which can be constructed in this class of space-times.

15 pages, 3 figures, To appear in Gen. Rel. Grav

References in corpus (2)

• Gravitational waves in vacuum spacetimes with cosmological constant. II. Deviation of geodesics and interpretation of non-twisting type N solutions
• Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant

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• Gravitational Waves in String theory in Anti-de Sitter Background
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• Vacuum polarization in Siklos spacetimes