Uniqueness and nonuniqueness of the stationary black holes in 5D Einstein-Maxwell and Einstein-Maxwell-dilaton gravity

Abstract

In the present paper we investigate the general problem of uniqueness of the stationary black solutions in 5D Einstein-Maxwell-dilaton gravity with arbitrary dilaton coupling parameter containing the Einstein-Maxwell gravity as a particular case. We formulate and prove uniqueness theorems classifying the stationary black hole solutions in terms of their interval structure, electric and magnetic charges and the magnetic fluxes. The proofs are based on the nonpositivity of the Riemann curvature operator on the space of the potentials which imposes restrictions on the dilaton coupling parameter.

21 pages, LaTex

References in corpus (3)

• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
• Solution generating in 5D Einstein-Maxwell-dilaton gravity and derivation of dipole black ring solutions

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• Moduli space of supersymmetric solitons and black holes in five dimensions
• Properties of rotating Einstein-Maxwell-Dilaton black holes in odd dimensions
• Area-angular momentum-charge inequality for stable marginally outer trapped surfaces in 4D Einstein-Maxwell-dilaton theory
• Inverse Scattering Construction of a Dipole Black Ring
• Classification of static black holes in Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems
• Charged rotating dilaton black holes with Kaluza-Klein asymptotics