On the gravitational angular momentum of rotating sources

Details On the gravitational angular momentum of rotating sources On the gravitational angular momentum of rotating sources

2008-10-10

arxiv.org/abs/0810.1934v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, accepted by General Relativity and Gravitation

Scientific paper

10.1007/s10714-008-0701-x

The gravitational energy-momentum and angular momentum satisfy the algebra of the Poincare group in the full phase space of the teleparallel equivalent of general relativity. The expression for the gravitational energy-momentum may be written as a surface integral in the three-dimensional spacelike hypersurface, whereas the definition for the angular momentum is given by a volume integral. It turns out that in practical calculations of the angular momentum of the gravitational field generated by localized sources like rotating neutron stars, the volume integral reduces to a surface integral, and the calculations can be easily carried out. Similar to previous investigations in the literature, we show that the total angular momentum is finite provided a certain asymptotic behaviour is verified. We discuss the dependence of the gravitational angular momentum on the frame, and argue that it is a measure of the dragging of inertial frames.

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