Discreteness of dyonic dilaton black holes

Abstract

We show that there are two classes of solutions that describe static spherically symmetric dyonic dilaton black holes with two nonsingular horizons. The first class includes only the already known solutions that exist for a few special values of the dilaton coupling constant. Solutions belonging to the second class have essentially different properties. They exist for continuously varying values of the dilaton coupling constant, but arise only for discrete values of the dilaton field at the horizon. For each given value of the dilaton coupling constant, there may exist several such solutions differing by the number of zeros of the shifted dilaton function in the subhorizon region and separating the domains of singular solutions.

14 pages, 1 figure

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Cited by in corpus (5)

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• Fluxbrane polynomials and Melvin-like solutions for simple Lie algebras
• On fluxbrane polynomials for generalized Melvin-like solutions associated with rank 5 Lie algebras
• Photon Sphere for a Dilatonic Dyonic Black Hole in a Model with an Abelian Gauge Field and a Scalar Field