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

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

2008-12-19

arxiv.org/abs/0812.3759v2

Rept.Math.Phys.64:223-240,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 1 figure

Scientific paper

10.1016/S0034-4877(09)90028-3

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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