In this talk, I will present a general formulation for calculating conserved charges associated with exact symmetries in the context of covariant gravitational theories. The method is based on "covariant phase space method". Introducing the notion of "solution phase space", which is the phase space built by family of solutions parametrized by some parameters, one can calculate the mass, angular momentum, and electric charge etc, in a single formulation, for general family of solutions (including black holes), in any dimension, and with any asymptotics. Moreover, the codimension-2 surfaces of integration are almost relaxed to be chosen arbitrarily. At the end, I will apply the formulation to find conserved charges and first law(s) of thermodynamics for the Kerr-dS black holes, unifying them with the Kerr and Kerr-AdS black holes. Refs. for more details: "Phys.Rev. D93 (2016), 4, 044074, arXiv:1512.05584" and "arXiv:1602.05575".

NOTES

Please note the unusual date.