On the Physical Meaning of the Robinson-Trautman-Maxwell Fields

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.

arXiv comment29 pages

References in corpus (6)

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• The Large Footprints of H-Space on Asymptotically Flat Space-Times
• Tensorial Spin-s Harmonics
• Twisting Null Geodesic Congruences, Scri, H-Space and Spin-Angular Momentum
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• Robinson--Trautman solution with nonlinear electrodynamics
• The Universal Cut Function and Type II Metrics
• Asymptotically Stationary and Static Space-times and Shear-free Null Geodesic Congruences
• The Geometry of Regular Shear-Free Null Geodesic Congruences, CR functions and their Application to the Flat-Space Maxwell Equations
• Electromagnetic Induced Gravitational Perturbations
• The Gravitational Field of a Radiating Electromagnetic Dipole
• Robinson-Trautman solutions with scalar hair and Ricci flow
• Supersymmetry of the Robinson-Trautman solution
• Asymptotically Shear-free and Twist-free Null Geodesic Congruences