Classical dynamics of strings and branes, with application to vortons

Physics – High Energy Physics – High Energy Physics - Theory

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

Scientific paper

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.

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