Non-extremal Black Holes, Harmonic Functions, and Attractor Equations

Details Non-extremal Black Holes, Harmonic Functions, and Attractor Equations Non-extremal Black Holes, Harmonic Functions, and Attractor Equations

2010-06-17

arxiv.org/abs/1006.3439v1

Class.Quant.Grav.27:235008,2010

Physics

High Energy Physics

High Energy Physics - Theory

33 pages

Scientific paper

10.1088/0264-9381/27/23/235008

We present a method which allows to deform extremal black hole solutions into non-extremal solutions, for a large class of supersymmetric and non-supersymmetric Einstein-Vector-Scalar type theories. The deformation is shown to be largely independent of the details of the matter sector. While the line element is dressed with an additional harmonic function, the attractor equations for the scalars remain unmodified in suitable coordinates, and the values of the scalar fields on the outer and inner horizon are obtained from their fixed point values by making specific substitutions for the charges. For a subclass of models, which includes the five-dimensional STU-model, we find explicit solutions.

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