Scalar Hair from a Derivative Coupling of a Scalar Field to the Einstein Tensor
Abstract
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.
Keywords
Cite
@article{arxiv.1111.0263,
title = {Scalar Hair from a Derivative Coupling of a Scalar Field to the Einstein Tensor},
author = {Theodoros Kolyvaris and George Koutsoumbas and Eleftherios Papantonopoulos and George Siopsis},
journal= {arXiv preprint arXiv:1111.0263},
year = {2015}
}
Comments
24 pages, 13 figures, title changed, improved discussion of the first order perturbative analysis, reference added, published version