On the uniqueness of supersymmetric AdS(5) black holes with toric symmetry

Lucietti, James; Ntokos, Praxitelis; Ovchinnikov, Sergei G.

doi:10.1088/1361-6382/aca193

Cited by 4 publications

(1 citation statement)

References 48 publications

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“…Recently, in [40,41] a classification of supersymmetric black holes in minimal gauged supergravity that admit an SU(2) or a U(1) 2 isometry was performed. Starting from these results, unique theorems were then proven for AdS 5 black holes with spherical horizon or toric symmetry.…”

Section: Jhep05(2023)138 6 Final Remarksmentioning

confidence: 99%

Rotating black holes with Nil or SL(2, ℝ) horizons

Faedo

Klemm

Mariotti

2023

J. High Energ. Phys.

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We construct rotating black holes in N = 2, D = 5 minimal and matter- coupled gauged supergravity, with horizons that are homogeneous but not isotropic. Such spaces belong to the eight Thurston model geometries, out of which we consider the cases Nil and SL(2, ℝ). In the former, we use the recipe of [1] to directly rederive the solution that was obtained by Gutowski and Reall in [2] as a scaling limit from a spherical black hole. With the same techniques, the first example of a black hole with SL(2, ℝ) horizon is constructed, which is rotating and one quarter BPS. The physical properties of this solution are discussed, and it is shown that in the near-horizon limit it boils down to the geometry of [2], with a supersymmetry enhancement to one half. Dimensional reduction to D = 4 gives a new solution with hyperbolic horizon to the t3 model that carries both electric and magnetic charges. Moreover, we show how to get a nonextremal rotating Nil black hole by applying a certain scaling limit to Kerr-AdS5 with two equal rotation parameters, which consists in zooming onto the north pole of the S2 over which the S3 is fibered, while boosting the horizon velocity effectively to the speed of light.

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Section: Jhep05(2023)138 6 Final Remarksmentioning

confidence: 99%

Rotating black holes with Nil or SL(2, ℝ) horizons

Faedo

Klemm

Mariotti

2023

J. High Energ. Phys.

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All separable supersymmetric AdS5 black holes

Lucietti,

Ntokos,

Ovchinnikov

2024

J. High Energ. Phys.

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We consider the classification of supersymmetric black hole solutions to five-dimensional STU gauged supergravity that admit torus symmetry. This reduces to a problem in toric Kähler geometry on the base space. We introduce the class of separable toric Kähler surfaces that unify product-toric, Calabi-toric and orthotoric Kähler surfaces, together with an associated class of separable 2-forms. We prove that any supersymmetric toric solution that is timelike, with a separable Kähler base space and Maxwell fields, outside a horizon with a compact (locally) spherical cross-section, must be locally isometric to the known black hole or its near-horizon geometry. An essential part of the proof is a near-horizon analysis which shows that the only possible separable Kähler base space is Calabi-toric. In particular, this also implies that our previous black hole uniqueness theorem for minimal gauged supergravity applies to the larger class of separable Kähler base spaces.

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Uniqueness of the extremal Schwarzschild de Sitter spacetime

Katona,

Lucietti

2024

Lett Math Phys

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We prove that any analytic vacuum spacetime with a positive cosmological constant in four and higher dimensions, that contains a static extremal Killing horizon with a maximally symmetric compact cross-section, must be locally isometric to either the extremal Schwarzschild de Sitter solution or its near-horizon geometry (the Nariai solution). In four-dimensions, this implies these solutions are the only analytic vacuum spacetimes that contain a static extremal horizon with compact cross-sections (up to identifications). We also consider the analogous uniqueness problem for the four-dimensional extremal hyperbolic Schwarzschild anti-de Sitter solution and show that it reduces to a spectral problem for the laplacian on compact hyperbolic surfaces, if a cohomological obstruction to the uniqueness of infinitesimal transverse deformations of the horizon is absent.

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On the uniqueness of supersymmetric AdS(5) black holes with toric symmetry

Cited by 4 publications

References 48 publications

Rotating black holes with Nil or SL(2, ℝ) horizons

Rotating black holes with Nil or SL(2, ℝ) horizons

All separable supersymmetric AdS5 black holes

Uniqueness of the extremal Schwarzschild de Sitter spacetime

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