https://doi.org/10.1051/epjconf/201816809005
Quasilocal angular momentum of gravitational fields in (2+2) formalism
School of Physics, Konkuk University, 120 Neungdong-ro, Gwangjin-gu, Seoul 05029, Korea
* e-mail: shoh.physics@gmail.com
** e-mail: yoonjh@konkuk.ac.kr
Published online: 9 January 2018
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.
© The Authors, published by EDP Sciences, 2018
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