New analytic charged rotating near-horizon geometries in 5D Einstein-Maxwell are constructed and shown to be the most general extremal rotating horizons with constant co-rotating electric field under Sasakian structure.
Near-horizon symmetries of extremal black holes
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2,1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four and five dimensional solutions (including black rings). The result is valid for a general two-derivative theory of gravity coupled to abelian vectors and uncharged scalars, allowing for a non-trivial scalar potential. We prove that it remains valid in the presence of higher-derivative corrections. We show that SO(2,1)-symmetric near-horizon solutions can be analytically continued to give SU(2)-symmetric black hole solutions. For example, the near-horizon limit of an extremal 5D Myers-Perry black hole is related by analytic continuation to a non-extremal cohomogeneity-1 Myers-Perry solution.
representative citing papers
Unique quasi-topological theories with first-order equations are found for Taub-NUT, NHEK, swirling and related 4D symmetric metrics, enabling closed-form solutions and regular black holes from high-order curvature corrections.
Presents the first analytic singly rotating near-horizon solution in 5D Einstein-Gauss-Bonnet gravity with finite curvature invariants for limited rotation.
Near-EVH limits of AdS6 and AdS7 black holes produce conformally related lower-dimensional black hole solutions in EMMD gravity, opening a potential path to microscopic entropy counting for non-AdS black holes via higher-dimensional AdS/CFT.
Schwarzian modes emerge from the general solution of BTZ perturbations at finite temperature with no rotational modes present, and are equivalently obtained via a Kerr-Schild construction that connects to the double copy.
citing papers explorer
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Charged and rotating near-horizon geometries in five dimensions
New analytic charged rotating near-horizon geometries in 5D Einstein-Maxwell are constructed and shown to be the most general extremal rotating horizons with constant co-rotating electric field under Sasakian structure.