Non- minimally Coupled Scalar Fields, Holst Action and Black Hole Mechanics

Details Non- minimally Coupled Scalar Fields, Holst Action and Black Hole Mechanics Non- minimally Coupled Scalar Fields, Holst Action and Black Hole Mechanics

2009-06-11

arxiv.org/abs/0906.2102v2

Annals Phys.326:307-322,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Change of title, 14 Pages, 1 figure

Scientific paper

10.1016/j.aop.2010.09.001

The paper deals with the extension of the Weak Isolated Horizon (WIH) formulation to the non- minimally coupled Holst action. In the first part of the paper, we introduce the non- minimal scalar coupling of the Holst action and construct the covariant phase space of the theory. Using the covariant phase space, we prove the laws of black hole mechanics and show that with a gauge fixing, the symplectic structure on the horizon reduces to that of a U(1) Chern-Simons theory. The level of the Chern- Simons theory is shown to depend on the non-minimally coupled scalar field.

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