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

TL;DR

This paper explores the matching of PP-waves in various dimensions, analyzing implications for cosmic strings, brane-world models, BPS states, and quantization conditions in gravity.

Contribution

It extends Israel's matching conditions to higher-dimensional space-times and discusses their relevance to brane-world scenarios and BPS states in gravity.

Findings

Matching conditions influence cosmic string dynamics

Extension to arbitrary dimensions reveals new features

Connections to brane-world and BPS states are identified

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.