Boundary Conditions at Infinity for Physical Theories

Boundary Conditions at Infinity for Physical Theories

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 f...

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Veröffentlicht in:arXiv.org 2016-04
1. Verfasser: Trautman, Andrzej
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Boundary conditions
Fields (mathematics)
Hyperbolic differential equations
Mathematical analysis
Maxwell's equations
Tensors
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description 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.
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subjects Boundary conditions
Fields (mathematics)
Hyperbolic differential equations
Mathematical analysis
Maxwell's equations
Tensors
title Boundary Conditions at Infinity for Physical Theories
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