Friday, August 10, 2012

1111.0263 (Theodoros Kolyvaris et al.)

Scalar Hair from a Derivative Coupling of a Scalar Field to the Einstein
Tensor
   [PDF]

Theodoros Kolyvaris, George Koutsoumbas, Eleftherios Papantonopoulos, George Siopsis
We consider a gravitating system of vanishing cosmological constant consisting of an electromagnetic field and a scalar field coupled to the Einstein tensor. A Reissner-Nordstr\"om black hole undergoes a second-order phase transition to a hairy black hole of generally anisotropic hair at a certain critical temperature which we compute. The no-hair theorem is evaded due to the coupling between the scalar field and the Einstein tensor. Within a first order perturbative approach we calculate explicitly the properties of a hairy black hole configuration near the critical temperature and show that it is energetically favorable over the corresponding Reissner-Nordstr\"om black hole.
View original: http://arxiv.org/abs/1111.0263

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