Hamiltonian description of radiation phenomena: Trautman-bondi energy and corner conditions

Cauchy initial value problem on a hyperboloid is proved to define a Hamiltonian system, provided the radiation data at null infinity are also taken into account, as a part of Cauchy data. The “Trautman-Bondi mass”, supplemented by the “already radiated energy” assigned to radiation data, plays the r...

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Bibliographic Details
Published in:Reports on mathematical physics 2009-08, Vol.64 (1), p.223-240
Main Authors: Chmielowiec, Witold, Kijowski, Jerzy
Format: Article
Language:English
Subjects:
Corners
Hamiltonian field theory
Hamiltonian functions
Infinity
Initial value problems
initial-characteristic value problem
Mathematical analysis
Trautman-Bondi energy
wave equation
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Summary:Cauchy initial value problem on a hyperboloid is proved to define a Hamiltonian system, provided the radiation data at null infinity are also taken into account, as a part of Cauchy data. The “Trautman-Bondi mass”, supplemented by the “already radiated energy” assigned to radiation data, plays the role of the Hamiltonian function. This approach leads to correct description of the corner conditions.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(09)90028-3