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Algebra i Analiz, 2010 Volume 22, Issue 3, Pages 3–15 (Mi aa1183)

This article is cited in 5 papers

Research Papers

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

I. Ya. Aref'evaa, A. A. Bagrova, L. V. Joukovskayab

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b Centre for Theoretical Cosmology, DAMTP, CMS, University of Cambridge, Cambridge, United Kingdom

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.

Keywords: dS space-time, gravitational waves, regularization.

Received: 26.01.2010


 English version:
St. Petersburg Mathematical Journal, 2011, 22:3, 337–345

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