Author:
Oh Seung Hun,Yoon Jong Hyuk
Abstract
Recently the Poisson algebra of a quasilocal angular momentum of gravitational fields L(ξ) in (2+2) formalism of Einstein’s theory was studied in detail [1]. In this paper, we will briefly review the definition of L(ξ) and its remarkable properties. Especially, it will be discussed that L(ξ) satisfies the Poisson algebra {L(ξ); L(η){P.B. = L([ξ, η]L), up to a constant normalizing factor, and this algebra reduces to the standard SO(3) algebra at null infinity. It will be also argued that our angular momentum is a quasilocal generalization of A. Rizzi’s geometric definition.