On boosted space-times with cosmological constant and their ultrarelativistic limit
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.
Keywords
Cite
@article{arxiv.gr-qc/0606126,
title = {On boosted space-times with cosmological constant and their ultrarelativistic limit},
author = {Giampiero Esposito and Roberto Pettorino and Paolo Scudellaro},
journal= {arXiv preprint arXiv:gr-qc/0606126},
year = {2008}
}
Comments
13 pages, Latex file. In the final version, the presentation has been improved, and two references have been added