Several aspects of applying distributions to analysis of gravitational shock waves in general relativity

Aref′eva, I.; Bagrov, A.; Joukovskaya, L.

doi:10.1090/S1061-0022-2011-01144-6

Several aspects of applying distributions to analysis of gravitational shock waves in general relativity
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by I. Ya. Aref′eva, A. A. Bagrov and L. V. Joukovskaya
Translated by: the authors

St. Petersburg Math. J. 22 (2011), 337-345

DOI: https://doi.org/10.1090/S1061-0022-2011-01144-6

Published electronically: March 17, 2011

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Abstract:

The ultrarelativistic limit of the stationary Schwarzschild solution in de Sitter space-time of dimension $D=4, 5$ is considered. A regularization procedure required for the mathematically correct definition of such a limit is formulated. Some auxiliary statements are proved.

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