Non-Supersymmetric Attractors

Abstract

We consider theories with gravity, gauge fields and scalars in four-dimensional asymptotically flat space-time. By studying the equations of motion directly we show that the attractor mechanism can work for non-supersymmetric extremal black holes. Two conditions are sufficient for this, they are conveniently stated in terms of an effective potential involving the scalars and the charges carried by the black hole. Our analysis applies to black holes in theories with $\mathcal{N}\le 1$ supersymmetry, as well as non-supersymmetric black holes in theories with $\mathcal{N}=2$ supersymmetry. Similar results are also obtained for extremal black holes in asymptotically Anti-de Sitter space and in higher dimensions.

55 pages, LaTeX, 7 eps figures. v3: references and some additional comments added, minor corrections

References in corpus (7)

• Black Hole Attractors and the Topological String
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Exact Counting of Black Hole Microstates
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Non-Supersymmetric Attractors in String Theory
• Hartle-Hawking Wave-Function for Flux Compactifications
• Stretching the Horizon of a Higher Dimensional Small Black Hole

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