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August 2005 On naked singularities and the collapse of self-gravitating Higgs fields
Mihalis Dafermos
Adv. Theor. Math. Phys. 9(4): 575-591 (August 2005).

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 recently 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. "On naked singularities and the collapse of self-gravitating Higgs fields." Adv. Theor. Math. Phys. 9 (4) 575 - 591, August 2005.

Information

Published: August 2005
First available in Project Euclid: 3 April 2006

zbMATH: 1129.83014
MathSciNet: MR2201106

Rights: Copyright © 2005 International Press of Boston

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Vol.9 • No. 4 • August 2005
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