Degenerate Black Rings in $D=5$ Minimal Supergravity

Abstract

We consider both gauged and ungauged minimal supergravities in five dimensions and analyse the charged rotating solutions with two equal angular momenta $J$. When the electric charge $Q\sim J^{2/3}$ with some specific coefficient, we find new extremal black objects emerge that are asymptotic to either Minkowski or global AdS spacetimes and can be best described as degenerate black rings. Their near-horizon geometry is locally AdS${}_3\times S^2$, where the periodic $U(1)$ fibre coordinate in $S^3$ untwists and collapses to be the degenerate part of the AdS${}_3$ horizon. It turns out that there are two branches of extremal rotating black holes, starting as the extremal RN black holes of the same mass, but opposite charges. With the increasing of the angular momentum, they will join to become the same degenerate black ring, where the Gibbs free energies however are not continuous at the joining. For the same $Q(J)$ relation, we find that there is in addition a rotating soliton whose mass is smaller than the degenerate black ring.

arXiv commentLatex, 25 pages, typos corrected, reference added and the origin of the Gibbs free-energy discontinuity explained. To appear in SCPMA

References in corpus (36)

• Enthalpy and the Mechanics of AdS Black Holes
• A rotating black ring in five dimensions
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Rotation and the AdS/CFT correspondence
• D--branes and Spinning Black Holes
• The General Kerr-de Sitter Metrics in All Dimensions
• Rotating Charged Black Hole Solution in Heterotic String Theory
• Asymptotically Anti-de Sitter Space-times: Conserved Quantities
• General supersymmetric AdS5 black holes
• General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• A supersymmetric black ring
• General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
• Higher-dimensional resolution of dilatonic black hole singularities
• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• Supersymmetric AdS5 black holes
• Supersymmetric black rings and three-charge supertubes
• General Kerr-NUT-AdS Metrics in All Dimensions
• Black ring with two angular momenta
• Charged Kerr-de Sitter Black Holes in Five Dimensions
• Supersymmetric Rotating Black Holes and Causality Violation
• Charged Rotating Black Holes in 5d Einstein-Maxwell-(A)dS Gravity
• Rotating Black Holes in Gauged Supergravities; Thermodynamics, Supersymmetric Limits, Topological Solitons and Time Machines
• General (Anti-)de Sitter Black Holes in Five Dimensions
• Near-BPS-Saturated Rotating Electrically Charged Black Holes as String States
• Mass of Rotating Black Holes in Gauged Supergravities
• General Nonextremal Rotating Charged AdS Black Holes in Five-dimensional $U(1{)}^3$ Gauged Supergravity: A Simple Construction Method
• Kerr-de Sitter Black Holes with NUT Charges
• Soliton Solutions to the Einstein Equations in Five Dimensions
• Causality Violation and Naked Time Machines in AdS_5
• Eguchi-Hanson Solitons in Odd Dimensions
• Separability of a modified Dirac equation in a five-dimensional rotating, charged black hole in string theory
• On uniqueness of charged Kerr-AdS black holes in five dimensions
• Chemistry and Complexity for Solitons in AdS${}_5$
• Nonexistence of Extremal de Sitter Black Rings
• Time Machines and AdS Solitons with Negative Mass
• Supersymmetric AdS Black Rings

Cited by in corpus (1)

• Negative Corrections to Black Hole Entropy from String Theory