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 \( \mathcal{O} \)(M2v2), we are able to locally investigate their supersymmetric properties in four-dimensional \( \mathcal{N} \) = 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.
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Cai, Y., Liu, J.T. Towards the construction of multi-centered black holes in AdS. J. High Energ. Phys. 2022, 59 (2022). https://doi.org/10.1007/JHEP10(2022)059
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DOI: https://doi.org/10.1007/JHEP10(2022)059