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

J. Podolsky
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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.

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J. Podolsky. 2000-10-23. Exact non-singular waves in the anti-de Sitter universe. https://doi.org/10.1023/a%3A1010284400184

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