Wormhole Solutions in the Einstein-Yang-Mills-Higgs System I. General Theory of the Zero-Order Structure

Details Wormhole Solutions in the Einstein-Yang-Mills-Higgs System I. General Theory of the Zero-Order Structure Wormhole Solutions in the Einstein-Yang-Mills-Higgs System I. General Theory of the Zero-Order Structure

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983rspsa.386..223h&link_type=abstract

Proceedings of The Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 386, Issue 1790, pp. 223-240

Physics

9

Scientific paper

We show that the field equations for static solutions containing an extreme type of black hole imply severe conditions on the boundary values of all fields at the internal infinity of the holes. These conditions have the form of an overdetermined, nonlinear elliptic system of differential equations on a two-dimensional compact manifold. We simplify the system using positivity of some of its differential operators and prove that for a broad class of Higgs potential functions and for arbitrary gauge groups the only solution is the abelian embedded Reissner-Nordstrom one.

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