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On boosted space-times with cosmological constant and their ultrarelativistic limit

Giampiero Esposito·Roberto Pettorino·Paolo Scudellaro
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Abstract

The problem of deriving a shock-wave geometry with cosmological constant by boosting a Schwarzschild-de Sitter (or anti-de Sitter) black hole is re-examined. Unlike previous work in the literature, we deal with the exact Schwarzschild-de Sitter (or anti-de Sitter) metric. By virtue of peculiar cancellations in this exact calculation, where the metric does not depend linearly on the mass parameter, we find a singularity of distributional nature on a null hypersurface, which corresponds to a shock-wave geometry derived in a fully non-perturbative way. The result agrees with previous calculations, where the metric had been linearized in the mass parameter.

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Giampiero Esposito, Roberto Pettorino, Paolo Scudellaro. 2007-07-18. On boosted space-times with cosmological constant and their ultrarelativistic limit. https://doi.org/10.1142/s0219887807002132

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