Uniqueness Theorem for Black Hole Space-Times with Multiple Disconnected Horizons

Abstract

We show uniqueness of stationary and asymptotically flat black hole space-times with multiple disconnected horizons and with two rotational Killing vector fields in the context of five-dimensional minimal supergravity (Einstein-Maxwell-Chern-Simons gravity). The novelty in this work is the introduction in the uniqueness theorem of intrinsic local charges measured near each horizon as well as the measurement of local fluxes besides the asymptotic charges that characterize a particular solution. A systematic method of defining the boundary conditions on the fields that specify a black hole space-time is given based on the study of its rod structure (domain structure). Also, an analysis of known solutions with disconnected horizons is carried out as an example of an application of this theorem.

28 pages, 5 figures. v3: Further improvements on uniqueness theorem, Lemma introduced for clarity of derivation, new quantities introduced to treat special case with zero flux, refs. added, typos fixed

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Cited by in corpus (14)

• Black hole non-uniqueness via spacetime topology in five dimensions
• The first law of soliton and black hole mechanics in five dimensions
• Moduli space of supersymmetric solitons and black holes in five dimensions
• Inverse Scattering Construction of a Dipole Black Ring
• No-dipole-hair theorem for higher-dimensional static black holes
• Rotating black ring on Kaluza-Klein bubbles
• A Uniqueness theorem for black holes with Kaluza-Klein asymptotic in 5D Einstein-Maxwell gravity
• Uniqueness and nonuniqueness of the stationary black holes in 5D Einstein-Maxwell and Einstein-Maxwell-dilaton gravity
• Domain Structure of Black Hole Space-Times with a Cosmological Constant
• Uniqueness of Black Holes with Bubbles in Minimal Supergravity
• Multipole moments for black objects in five dimensions
• Thermodynamic black di-rings
• Five-dimensional electrostatic black holes in a background field
• Bubbling saddles of the gravitational index