The angular momentum of the gravitational field and the Poincare group
J. W. Maluf, S. C. Ulhoa, F. F. Faria, J. F. da Rocha-Neto
Abstract
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 Poincaré group. This result allows us to define Casimir type invariants for the gravitational field.
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