"No-hair" theorems for the Abelian Higgs and Goldstone models

Details "No-hair" theorems for the Abelian Higgs and Goldstone models "No-hair" theorems for the Abelian Higgs and Goldstone models

Oct 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..18.2798a&link_type=abstract

Physical Review D (Particles and Fields), Volume 18, Issue 8, 15 October 1978, pp.2798-2803

Physics

32

Scientific paper

We examine the question of whether black holes can have associated external massive vector and/or scalar fields, when the masses are produced by spontaneous symmetry breaking. Working throughout in the spherically symmetric case, we show that "no-hair" theorems can be proved for the vector field in the Abelian Higgs model, for an arbitrary ξR |φ|2 term in the Higgs Lagrangian, and for the Goldstone scalar field model with ξ=0. We also show that a Minkowski-space analog problem does have nontrivial screened charge solutions, indicating that the "no-hair" theorems which we prove are consequences of the stringent conditions at the assumed horizon in the general-relativistic case, not of the interacting field or spontaneous-symmetry-breaking aspects of the problem.

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