Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity

  title={Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity},
We study extremal black hole solutions in D dimensions with near horizon geometry AdS2 × S in higher derivative gravity coupled to other scalar, vector and antisymmetric tensor fields. We define an entropy function by integrating the Lagrangian density over S for a general AdS2 ×SD−2 background, taking the Legendre transform of the resulting function with respect to the parameters labelling the electric fields, and multiplying the result by a factor of 2π. We show that the values of the scalar… CONTINUE READING
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