Journal of High Energy Physics

, 2011:127

Exact solutions for supersymmetric stationary black hole composites


DOI: 10.1007/JHEP11(2011)127

Cite this article as:
Bates, B. & Denef, F. J. High Energ. Phys. (2011) 2011: 127. doi:10.1007/JHEP11(2011)127


Four dimensional \( \mathcal{N} = {2} \) 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.


Black Holes in String Theory D-branes 

Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  1. 1.Department of PhysicsColumbia UniversityNew YorkUSA
  2. 2.Department of Physics and AstronomyRutgers UniversityPiscatawayUSA

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