On the gravitational angular momentum of rotating sources
Abstract
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.
Cite
@article{arxiv.0810.1934,
title = {On the gravitational angular momentum of rotating sources},
author = {J. W. Maluf and S. C. Ulhoa},
journal= {arXiv preprint arXiv:0810.1934},
year = {2009}
}
Comments
19 pages, accepted by General Relativity and Gravitation