Classical dynamics of strings and branes, with application to vortons

Abstract

These notes offer an introductory overview of the essentials of classical brane dynamics in a space-time background of arbitrary dimension, using a systematic geometric treatment emphasising the role of the second fundamental tensor and its trace, the curvature vector $K^{\mu }$. This approach is applied to the problem of stability of vorton equilibrium states of cosmic string loops in an ordinary 4-dimensional background.

20 pages latex file of contribution to Proc. JGRG20 (Yukawa Inst., Kyoto, Sept., 2010) ed. T. Hiramatsu, M. Sasaki, M. Shibata, T, Shiromizu

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