Abstract:On the basis of a connection-independent Lagrangian for Einstein gravity, a generalized Katz-Bicak- Lynden-Bell (KBL) potential that contains an arbitrary affine connection is derived. In light of the potential, a formula for conserved charges can be proposed. In the present paper, such a formula succeeds in the definition of the mass and angular momentum for Kerr-AdS black holes. Particularly, we have constructed a new more general reference background connection in comparison with the Levi-Civita one adopted in the KBL superpotential. This further demonstrates that the reference background connection in the KBL method is not unique and it plays a fundamental role in preserving the covariance of the gravity theory.
