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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
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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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J. W. Maluf, S. C. Ulhoa, F. F. Faria, J. F. da Rocha-Neto. 2006-09-06. The angular momentum of the gravitational field and the Poincare group. https://doi.org/10.1088/0264-9381%2F23%2F22%2F011

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