Extremal Vanishing Horizon Kerr-AdS Black Holes at Ultraspinning Limit

Abstract

By utilizing the ultraspinning limit we generate a new class of extremal vanishing horizon (EVH) black holes in odd dimensions ($d\ge 5$). Starting from the general multi-spinning Kerr-AdS metrics, we show the EVH limit commutes with the ultraspinning limit, in which the resulting solutions possess a non-compact but finite area manifold for all $(t,r\ne r_{+})=const.$ slices. We also demonstrate the near horizon geometries of obtained ultraspinning EVH solutions contain an AdS${}_3$ throats, where it would be a BTZ black hole in the near EVH cases. The commutativity of the ultraspinning and near horizon limits for EVH solutions is confirmed as well. Furthermore, we discuss only the five-dimensional case near the EVH point can be viewed as a super-entropic black hole. We also show that the thermodynamics of the obtained solutions agree with the BTZ black hole. Moreover we investigate the EVH/CFT proposal, demonstrating the entropy of $2$d dual CFT and Bekenstein-Hawking entropy are equivalent.

arXiv comment29 pages, 3 figures, references added, typos corrected, revised version to match published version

References in corpus (46)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Anti-de Sitter Fragmentation
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• Emergent quantum criticality, Fermi surfaces, and AdS2
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• The General Kerr-de Sitter Metrics in All Dimensions
• Near-horizon symmetries of extremal black holes
• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• Holographic Heat Engines
• CFT Duals for Extreme Black Holes
• Rotating Attractors
• Noether charge, black hole volume, and complexity
• Instability of Ultra-Spinning Black Holes
• General Kerr-NUT-AdS Metrics in All Dimensions
• Classification of near-horizon geometries of extremal black holes
• Super-Entropic Black Holes
• Black Rings in (Anti)-deSitter space
• Bose condensation and branes
• Ultraspinning limits and super-entropic black holes
• Near Horizon Limits of Massless BTZ and Their CFT Duals
• Hawking radiation as tunneling derived from Black Hole Thermodynamics through the quantum horizon
• Blackfolds in (Anti)-de Sitter Backgrounds
• All Vacuum Near-Horizon Geometries in $D$-dimensions with $(D-3)$ Commuting Rotational Symmetries
• EVH Black Holes, AdS3 Throats and EVH/CFT Proposal
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• NHEG Mechanics: Laws of Near Horizon Extremal Geometry (Thermo)Dynamics
• Extremal Black Holes and First Law of Thermodynamics
• Super-Entropic Black Holes and the Kerr-CFT Correspondence
• Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals
• Nearing 11d Extremal Intersecting Giants and New Decoupled Sectors in D = 3,6 SCFT's
• EVH Black Hole Solutions With Higher Derivative Corrections
• Dual 2d CFT Identification of Extremal Black Rings from Holes
• Emergent AdS_3 in the Zero Entropy Extremal Black Holes
• Near Horizon Structure of Extremal Vanishing Horizon Black Holes
• On EVH black hole solution in Heterotic string theory
• Three Theorems on Near Horizon Extremal Vanishing Horizon Geometries
• More on Five Dimensional EVH Black Rings
• Ultraspinning limits and rotating hyperboloid membranes
• Five-dimensional EVH heterotic black holes and its dual IR-CFT
• On Classification of Geometries with SO(2,2) Symmetry
• Five-dimensional heterotic black holes and its dual IR-CFT
• AdS${}_3$ to dS${}_3$ transition in the near horizon of asymptotically de Sitter solutions
• Black Rings in U(1)^3 Supergravity and their dual 2d CFT

Cited by in corpus (11)

• Topological classes of thermodynamics of the four-dimensional static accelerating black holes
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• Aspects of the dyonic Kerr-Sen-AdS${}_4$ black hole and its ultraspinning version
• Notes on thermodynamics of super-entropic AdS black holes
• Thermodynamic Instabilities of Generalized Exotic BTZ Black Holes
• Null hypersurface caustics for high dimensional superentropic black holes
• Thermodynamic Instability of $3D$ Einstein-Born-Infeld AdS Black Holes
• Shadowless rapidly rotating yet not ultraspinning Kerr-AdS${}_4$ and Kerr-Newman-AdS${}_4$ black holes
• Dimensional structure of thermodynamic topology in ultraspinning Kerr-AdS black holes
• Ultra-spinning Chow's black holes in six-dimensional gauged supergravity and their properties
• Single-rotating Five-dimensional Near-horizon Extremal Geometry in General Relativity