Description
It has been shown that the mass, angular momentum and entropy can be obtained from the gravitational diffeomorphic Noether charges. Now the constrained topological BF theory with anti-de Sitter gauge group allows to extend this approach to the case of the first order gravity with a negative cosmological constant, the Holst modification and topological invariants (Nieh-Yan, Euler, and Pontryagin). Topological terms contribute to the boundary terms in the regularization scheme for asymptotically AdS spacetimes in a way that differentiability of the action is automatically secured. Intriguingly, derived thermodynamics does not depend on the Immirzi parameter for the AdS-Schwarzschild and AdS-Kerr cases.
