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

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

2000-10-23

arxiv.org/abs/gr-qc/0010084v1

Gen.Rel.Grav. 33 (2001) 1093-1113

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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.

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