Abstract

We discuss all possible spherically symmetric black hole type solutions to an N=2 supergravity model with SO(3) gauging. The solutions consist of a one parameter family of black hole solutions evading the no-hair theorem and an isolated solution that is a supersymmetric analogue of a coloured black hole.

Highlights

  • Some of these properties are the Lichnerowicz theorem, which proves the non-existence of non-Minkowski globally regular solutions in asymptotically flat spacetimes, the no-hair theorem for black holes and Israel’s theorem that states that a static black hole spacetime is necessarily spherically symmetric

  • We discus all possible spherically symmetric black hole type solutions to an N = 2 supergravity model with SO(3) gauging

  • [1] Bartnik and McKinnon presented numerical evidence for the existence of a discrete family of asymptotically flat, spherically symmetric, globally regular solutions to SO(3) EYM; their solutions evaded the non-Abelian baldness theorem [2], that states that every solution with finite colour charge is an Abelian solution in disguise, by having no asymptotic colour charge

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Summary

Introduction

Some of these properties are the Lichnerowicz theorem, which proves the non-existence of non-Minkowski globally regular solutions in asymptotically flat spacetimes, the no-hair theorem for black holes and Israel’s theorem that states that a static black hole spacetime is necessarily spherically symmetric. Is positive semi-definite, which means that the black holes will be asymptotically flat.

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