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arXiv · 0812.3759

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

Witold Chmielowiec·Jerzy Kijowski
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Abstract

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 role of the Hamiltonian function. This approach leads to correct description of the corner conditions.

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Witold Chmielowiec, Jerzy Kijowski. 2009-11-30. Hamiltonian description of radiation phenomena: Trautman-Bondi energy and corner conditions. https://doi.org/10.1016/s0034-4877(09)90028-3

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