Gravity as a constrained BF theory: Noether charges and Immirzi parameter

Details Gravity as a constrained BF theory: Noether charges and Immirzi parameter Gravity as a constrained BF theory: Noether charges and Immirzi parameter

2011-03-15

arxiv.org/abs/1103.2971v2

Phys.Rev.D83:124011,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, discussion in sect. IV extended, references added, typos corrected; to be published in Physical Review D

Scientific paper

10.1103/PhysRevD.83.124011

We derive and analyze Noether charges associated with the diffeomorphism invariance for the constrained SO(2,3) BF theory. This result generalizes the Wald approach to the case of the first order gravity with a negative cosmological constant, the Holst modification and topological terms (Nieh-Yan, Euler, and Pontryagin). We show that differentiability of the action is automatically implemented by the the structure of the constrained BF model. Finally, we calculate the AdS--Schwarzschild black hole entropy from the Noether charge and we find that, unexpectedly, it does not depend on the Immirzi parameter.

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