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 works in the literature, we deal with the exact Schwarzschild-de Sitter (or anti-de Sitter) metric. 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.
On boosted space-times with cosmological constant and their ultrarelativistic limit / Esposito, G; Pettorino, Roberto; Scudellaro, Paolo. - In: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. - ISSN 0219-8878. - STAMPA. - 4:3(2007), pp. 361-372. [10.1142/s0219887807002132]
On boosted space-times with cosmological constant and their ultrarelativistic limit
ESPOSITO G
Primo
;PETTORINO, ROBERTO;SCUDELLARO, PAOLO
2007
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 works in the literature, we deal with the exact Schwarzschild-de Sitter (or anti-de Sitter) metric. 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.File | Dimensione | Formato | |
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