New closed-form charged rotating five-dimensional near-horizon geometries exist with two independent angular momenta and constant co-rotating electric field, characterized by Sasakian structure and matching expected entropy relations without reducing to Myers-Perry.
Angular momentum-area proportionality of extremal charged black holes in odd dimensions
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abstract
Extremal rotating black holes in Einstein-Maxwell theory feature two branches. On the branch emerging from the Myers-Perry solutions their angular momentum is proportional to their horizon area, while on the branch emerging from the Tangherlini solutions their angular momentum is proportional to their horizon angular momentum. The transition between these branches occurs at a critical value of the charge, which depends on the value of the angular momentum. However, when a dilaton is included, the angular momentum is always proportional to the horizon area.
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Charged and rotating near-horizon geometries in five dimensions
New closed-form charged rotating five-dimensional near-horizon geometries exist with two independent angular momenta and constant co-rotating electric field, characterized by Sasakian structure and matching expected entropy relations without reducing to Myers-Perry.