Towards the construction of multi-centered black holes in AdS

Abstract

Abstract We find a class of approximate perturbative solutions describing multi-centered BPS black holes in asymptotically AdS4. These black holes are moving coplanarly in a circular orbit with common radius but fixed phase differences, where the radius is characterized by a common boost velocity v. While the solutions are not complete, as they are only accurate up to O $$ \mathcal{O} $$ (M 2 v 2), we are able to locally investigate their supersymmetric properties in four-dimensional N $$ \mathcal{N} $$ = 2 supergravity. The result indicates that, while a single BPS black hole preserves half of the supersymmetries, a configuration with two or more black holes is only 1/4 BPS. These perturbative solutions reduce in the asymptotically Minkowski limit to the multi-black hole solution of Majumdar and Papapetrou.

Keywords

• Black Holes
• Supergravity Models