2011/03/31 by R. Durka, J. Kowalski-Glikman, Jerzy Kowalski-Glikman · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Diffeomorphism #Gravitation #Immirzi parameter #Lagrangian #Loop quantum gravity #Mathematical analysis #Mathematical physics #Mathematics #Noether's theorem #Noncommutative and Quantum Gravity Theories #Physics #Quantum gravity #Quantum mechanics #Schwarzschild radius #gr-qc
paper · pdf · doi:10.1103/physrevd.83.124011
published as Phys.Rev.D83:124011,2011 · 6 pages, discussion in sect. IV extended, references added, typos corrected; to be published in Physical Review D
arxiv created 2011/05/30 · openalex publication_date 2011/06/03 · arxiv updated 2011/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.