Antigravitating black hole solitons with scalar hair in N=4 supergravity

Physics – Nuclear Physics

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Scientific paper

We present some new solutions of the equations of the N=4 supergravity theory which represent black holes with scalar, electric and magnetic charges. The solutions are parameterized by the mass and 6 electric and 6 magnetic charges which can be assembled into a complex 6-vector, ZN. One can act on the solutions with SO(6)×U(1) to obtain new solutions with the same mass M but charges ZN related by SO(6)×U(1) transformations, the U(1) factor corresponding to the duality subgroup of the hidden SU(1, 1) ssymetry of the N=4 model. In a certain limiting case the black holes have zero temperature and behave like solitons. In this case multisoliton solutions are exhibited which antigravitate, i.e. are in static equilibrium. We also present some solutions of the Kaluza-Klein theory which were anticipated by Scherk which also antigravitate. However, these latter solutions contain naked singularities. A discussion is also given of the relation of these solutions to dimensional reduction which has relevance for the black holes in the N=8 supergravity theory.

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