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

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

2009-11-24

arxiv.org/abs/0911.4654v3

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 5 figures. v3: Further improvements on uniqueness theorem, Lemma introduced for clarity of derivation, new quantitie

Scientific paper

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.

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