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On naked singularities and the collapse of self-gravitating Higgs fields

Mihalis Dafermos
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Abstract

We consider the problem of collapse of a self-gravitating Higgs field, with potential bounded below by a (possibly negative) constant. The behaviour at infinity may be either asymptotically flat or asymptotically AdS. This problem has received much attention as a source for possible violations of weak cosmic censorship in string theory. In this paper, we prove under spherical symmetry that ``first singularities'' arising in the non-trapped region must necessarily emanate from the centre. In particular, this excludes the formation of a certain type of naked singularity which was recently conjectured to occur.

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Mihalis Dafermos. 2004-11-02. On naked singularities and the collapse of self-gravitating Higgs fields. https://arxiv.org/abs/gr-qc/0403033

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