On the Physical Meaning of the Robinson-Trautman-Maxwell Fields
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
We study the Robinson-Trautman-Maxwell Fields in two closely related coordinate systems, the original Robinson-Trautman (RT) coordinates (in a more general context, often referred to as NU coordinates) and Bondi coordinates. In particular, we identify one of the RT variables as a velocity and then from the Bondi energy-momentum 4-vector, we find kinematic expressions for the mass and momentum in terms of this velocity. From these kinematic expressions and the energy-momentum loss equation we obtain surprising equations of motion for `the center of mass' of the source where the motion takes place in the four-dimensional Poincare translation sub-group of the BMS group.
Keywords
Cite
@article{arxiv.gr-qc/0607074,
title = {On the Physical Meaning of the Robinson-Trautman-Maxwell Fields},
author = {Carlos Kozameh and E. T. Newman and Gilberto Silva-Ortigoza},
journal= {arXiv preprint arXiv:gr-qc/0607074},
year = {2009}
}
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29 pages