Boundary Conditions at Infinity for Physical Theories
Mathematical Physics
2016-04-13 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
The Sommerfeld boundary conditions, imposed on hyperbolic differential equations to obtain solutions in the form of outgoing waves, are formulated here so as to make explicit the role of an appropriate null vector field. When applied to the scalar and Maxwell equations, they lead to the asymptotic form of the energy-momentum tensor representing radiation as a null, perfect dust.
Keywords
Cite
@article{arxiv.1604.03144,
title = {Boundary Conditions at Infinity for Physical Theories},
author = {Andrzej Trautman},
journal= {arXiv preprint arXiv:1604.03144},
year = {2016}
}
Comments
4 pages, LaTeX2e