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Exact solutions for supersymmetric stationary black hole composites

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arxiv hep-th/0304094 v1 pith:PQ7ZWRLH submitted 2003-04-10 hep-th

Exact solutions for supersymmetric stationary black hole composites

classification hep-th
keywords solutionsblackexplicitholesomechargesentropystationary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Four dimensional N=2 supergravity has regular, stationary, asymptotically flat BPS solutions with intrinsic angular momentum, describing bound states of separate extremal black holes with mutually nonlocal charges. Though the existence and some properties of these solutions were established some time ago, fully explicit analytic solutions were lacking thus far. In this note, we fill this gap. We show in general that explicit solutions can be constructed whenever an explicit formula is known in the theory at hand for the Bekenstein-Hawking entropy of a single black hole as a function of its charges, and illustrate this with some simple examples. We also give an example of moduli-dependent black hole entropy.

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