Entropy function for rotating extremal black holes in very special geometry

Abstract

We use the relation between extremal black hole solutions in five- and in four-dimensional N=2 supergravity theories with cubic prepotentials to define the entropy function for extremal black holes with one angular momentum in five dimensions. We construct two types of solutions to the associated attractor equations.

15 pages, minor changes

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• Rotating multi-charge spindles and their microstates
• One entropy function to rule them all
• Microstates of rotating AdS${}_5$ strings
• Comments on Charges and Near-Horizon Data of Black Rings
• Extremal black brane solutions in five-dimensional gauged supergravity
• Charges from Attractors
• Near horizon data and physical charges of extremal AdS black holes
• Dualities Near the Horizon
• The extremal Kerr entropy in higher-derivative gravities
• Special Geometry, Hessian Structures and Applications
• The Entropy Function for the extremal Kerr-(anti-)de Sitter Black Holes
• Attractors and first order formalism in five dimensions revisited
• More on entropy function formalism for non-extremal branes
• Entropy Function for Non-extremal D1D5 and D2D6NS5-branes
• Black Holes in Supergravity: the non-BPS Branch
• Contributions of Riemann invariants to the Entropy of Extremal Black Holes