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A systematic construction of microstate geometries with low angular momentum

Abstract : We outline a systematic procedure to obtain horizonless microstate geometries that have the same charges as three-charge five-dimensional black holes with a macroscopically-large horizon area and an arbitrarily-small angular momentum. There are two routes through which such solutions can be constructed: using multi-center Gibbons-Hawking (GH) spaces or using superstratum technology. So far the only solutions corresponding to microstate geometries for black holes with no angular momentum have been obtained via superstrata [1], and multi-center Gibbons-Hawking spaces have been believed to give rise only to microstate geometries of BMPV black holes with a large angular momentum [2]. We perform a thorough search throughout the parameter space of smooth horizonless solutions with four GH centers and find that these have an angular momentum that is generally larger than 80% of the cosmic censorship bound. However, we find that solutions with three GH centers and one supertube (which are smooth in six-dimensional supergravity) can have an arbitrarily-low angular momentum. Our construction thus gives a recipe to build large classes of microstate geometries for zero-angular-momentum black holes without resorting to superstratum technology.
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Submitted on : Tuesday, October 31, 2017 - 3:32:44 PM
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Iosif Bena, Pierre Heidmann, Pedro Ramirez. A systematic construction of microstate geometries with low angular momentum. Journal of High Energy Physics, Springer, 2017, 10, pp.217. ⟨10.1007/JHEP10(2017)217⟩. ⟨cea-01626969⟩

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