Scalar hairy black holes and scalarons in the isolated horizons formalism

Details Scalar hairy black holes and scalarons in the isolated horizons formalism Scalar hairy black holes and scalarons in the isolated horizons formalism

2005-04-26

arxiv.org/abs/gr-qc/0504126v2

Phys.Rev.D73:084002,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 10 figures; revtex style; figures added; text updated to match the published paper

Scientific paper

10.1103/PhysRevD.73.084002

The Isolated Horizons (IH) formalism, together with a simple phenomenological model for colored black holes has been used to predict non-trivial formulae that relate the ADM mass of the solitons and hairy Black Holes of Gravity-Matter system on the one hand, and several horizon properties of the black holes in the other. In this article, the IH formalism is tested numerically for spherically symmetric solutions to an Einstein-Higgs system where hairy black holes were recently found to exist. It is shown that the mass formulae still hold and that, by appropriately extending the current model, one can account for the behavior of the horizon properties of these new solutions. An empirical formula that approximates the ADM mass of hairy solutions is put forward, and some of its properties are analyzed.

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