Conserved quantities of Kerr-AdS black holes based on a connection independent Lagrangian
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 suc-ceeds 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 con-nection in the KBL method is not unique and it plays a fundamental role in preserving the covariance of the gravity theory.
Kerr-AdS black holeConserved charges for gravitational fieldThe KBL methodKerr black hole
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