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

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

2006-06-29

arxiv.org/abs/gr-qc/0606126v3

Int.J.Geom.Meth.Mod.Phys.4:361-372,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, Latex file. In the final version, the presentation has been improved, and two references have been added

Scientific paper

10.1142/S0219887807002132

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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