2006/09/06 by J. W. Maluf, J W Maluf, S. C. Ulhoa +5 · 51 citations
Physics and Astronomy · #Angular momentum #Angular momentum coupling #Angular momentum of light #Angular momentum operator #Gravitational field #Gravitational redshift #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Speed of gravity #Total angular momentum quantum number #gr-qc
paper · pdf · doi:10.1088/0264-9381/23/22/011
published in Classical and Quantum Gravity 23(22), 6245-6256 (IOP Publishing) · 20 pages, no figures, accepted by Class. Quantum Gravity
arxiv created 2006/09/06 · openalex publication_date 2006/10/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We redefine the gravitational angular momentum in the framework of the teleparallel equivalent of general relativity. In similarity to the gravitational energy-momentum, the new definition for the gravitational angular momentum is coordinate independent. By considering the Poisson brackets in the phase space of the theory, we find that the gravitational energy-momentum and angular momentum correspond to a representation of the Poincar'e group. This result allows us to define Casimir type invariants for the gravitational field.