Non-extremal black holes, harmonic functions and attractor equations. (English) Zbl 1207.83034
Summary: We present a method which allows one 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 work in general when the scalar and vector couplings are encoded by a Hesse potential irrespective of whether the theory is supersymmetric or not. 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.
MSC:
83C57 | Black holes |
83E50 | Supergravity |
83C15 | Exact solutions to problems in general relativity and gravitational theory |
80A10 | Classical and relativistic thermodynamics |