We present a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field. Through this method one can derive broad classes of static solutions with radial symmetry of the theory, which may play an important role in applications of the AdS/CFT correspondence to condensed matter and strongly coupled QFT's. Moreover, the method allows to prove a new no-hair theorem about the existence of hairy black brane and black hole solutions.
Exact solutions of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field
SERRA, MATTEO
2012-01-01
Abstract
We present a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field. Through this method one can derive broad classes of static solutions with radial symmetry of the theory, which may play an important role in applications of the AdS/CFT correspondence to condensed matter and strongly coupled QFT's. Moreover, the method allows to prove a new no-hair theorem about the existence of hairy black brane and black hole solutions.
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