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

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

2004-03-08

arxiv.org/abs/gr-qc/0403033v2

Adv.Theor.Math.Phys. 9 (2005) 575-591

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 4 figures

Scientific paper

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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