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Can a self-gravitating thin cosmic string obey the Nambu-Goto dynamics ?

B. Boisseau·C. Charmousis·B. Linet
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Abstract

We assume that a self-gravitating string is locally described by a thin tube of matter represented by a ``smoothed conical metric''. If we impose a specific constraint on the model of string then its central line obeys the Nambu-Goto dynamics in the limit where the radius of the tube tends to zero. If no constraint is added then the world sheet of the central line is totally geodesic.

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B. Boisseau, C. Charmousis, B. Linet. 1997-10-14. Can a self-gravitating thin cosmic string obey the Nambu-Goto dynamics ?. https://arxiv.org/abs/gr-qc/9710071

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