Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-09-06
Class.Quant.Grav. 23 (2006) 6245-6256
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, no figures, accepted by Class. Quantum Gravity
Scientific paper
10.1088/0264-9381/23/22/011
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.
da Rocha-Neto J. F.
Faria F. F.
Maluf Jos W.
Ulhoa S. C.
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