Hot Attractors

Abstract

The product of the areas of the event horizon and the Cauchy horizon of a non-extremal black hole equals the square of the area of the horizon of the black hole obtained from taking the smooth extremal limit. We establish this result for a large class of black holes using the second order equations of motion, black hole thermodynamics, and the attractor mechanism for extremal black holes. This happens even though the area of each horizon generically depends on the moduli, which are asymptotic values of scalar fields. The conformal field theory dual to the BTZ black hole facilitates a microscopic interpretation of the result. In addition, we demonstrate that certain quantities which vanish in the extremal case are zero when integrated over the region between the two horizons. We corroborate these conclusions through an analysis of known solutions.

28 pages, 4 figures, LaTeX; v.2: references added, coffee stains removed; v.3: footnote added, minor typos corrected

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Cited by in corpus (8)

• From Static to Cosmological Solutions of N=2 Supergravity
• Distributions of extremal black holes in Calabi-Yau compactifications
• Observations on holographic aspects of four-dimensional asymptotically flat $\mathcal{N}=2$ black holes
• Freudenthal duality of near-extremal black holes and Jackiw-Teitelboim gravity
• Five-dimensional Nernst branes from special geometry
• Generalized Hot Attractors
• Classical integrability in the presence of a cosmological constant: analytic and machine learning results
• The Hot Attractor Mechanism: Decoupling Without Deep Throats