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

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.

16 pages, 1 figure

Cited by in corpus (1)

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