PP-waves, Israel's Matching conditions, Brane-world scenarios and BPS states in gravity

Abstract

The matching between two 4-dimensional PP-waves is discussed by using Israel's matching conditions. Physical consequences on the dynamics of (cosmic) strings are analyzed. The extension to space-time of arbitrary dimension is discussed and some interesting features related to the brane world scenario, BPS states in gravity and Dirac-like quantization conditions are briefly described.

16 pages, no figures. Accepted for pubblication on Classical and Quantum Gravity

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