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arXiv 0812.3759gr-qc
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辐射现象的哈密顿描述:Trautman-Bondi能量和角点条件

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

Witold Chmielowiec, Jerzy Kijowski

摘要:

本文证明了双曲面上的柯西初值问题定义了一个哈密顿系统,只要把零无穷远处的辐射数据也作为柯西数据的一部分考虑进去。“Trautman-Bondi质量”,加上分配给辐射数据的“已经辐射的能量”,起着哈密顿函数的作用。这种方法导致角条件的正确描述。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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