Work

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

Year: 2011

Type: article

Abstract: 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 structure of the constrained BF model. Finally, we calculate the AdS--Schwarzschild black hole entropy from the Noether charge and we find that it does not depend on the Immirzi parameter.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.83.124011

Authors: R. Durka, J. Kowalski-Glikman

Institution: University of Wrocław

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1986201659

FWCI: 1.373

Cites: 32

Cited by: 22

Related to: 10