More on Five Dimensional EVH Black Rings

Abstract

In this paper we continue our analysis of arXiv:1308.1478[hep-th] and study in detail the parameter space of three families of doubly spinning black ring solutions: balanced black ring, unbalanced ring and dipole-charged balanced black rings. In all these three families the Extremal Vanishing Horizon (EVH) ring appears in the vanishing limit of the dimensionful parameter of the solution which measures the ring size. We study the near horizon limit of the EVH black rings and for all three cases we find a (pinching orbifold) AdS${}_3$ throat with the AdS${}_3$ radius ${\ell }^2=8G_{5}M/(3\pi )$ where $M$ is the ring mass and $G_5$ is the 5d Newton constant. We also discuss the near horizon limit of near-EVH black rings and show that the AdS${}_3$ factor is replaced with a generic BTZ black hole. We use these results to extend the EVH/CFT correspondence for black rings, a 2d CFT dual to near-EVH black rings.

30 pages

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• AdS${}_3$ to dS${}_3$ transition in the near horizon of asymptotically de Sitter solutions
• More on the Entropy Product and Dual CFTs
• Central charges from Thermodynamics method in 3D gravity
• Near-Horizon Extremal Geometries: Coadjoint Orbits and Quantization
• Regular Black Holes: Entropy Products and Central Charges