Dynamics of a self-gravitating thin cosmic string

Abstract

We assume that a self-gravitating thin string can be locally described by what we shall call a smoothed cone. If we impose a specific constraint on the model of the string, then its central line obeys the Nambu-Goto equations. If no constraint is added, then the worldsheet of the central line is a totally geodesic surface.

20 pages, latex, 1 figure, final version

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