Rest frame system for asymptotically flat space-times

Rest frame system for asymptotically flat space-times
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渐近平坦时空的静止框架系统

DOI:
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发表时间:
1998
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通讯作者:
S. Dain
S. Dain
中科院分区:
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文献类型:
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作者:
O. Moreschi;S. Dain

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孤立系统的质心概念以前已经编码在所谓的好截面的定义中。本文推广了线性化方程在良截面上解的存在性证明,并给出了放宽辐射条件的良截面的局部存在性证明。我们报告这个家庭的解决方案的可微性和非自交叉性能。我们还证明了整体存在的nice部分。
The notion of center of mass for an isolated system has been previously encoded in the definition of the so-called nice sections. In this article we present a generalization of the proof of existence of solutions to the linearized equation for nice sections, and formalize a local existence proof of nice sections relaxing the radiation condition. We report on the differentiable and non-self-crossing properties of this family of solutions. We also give a proof of the global existence of nice sections.