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
Summary
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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