Unpolarized radiative cylindrical spacetimes: trapped surfaces and quasilocal energy
Unpolarized radiative cylindrical spacetimes: trapped surfaces and quasilocal energy
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非偏振辐射圆柱时空：俘获表面和准局域能量
DOI：
10.1088/0264-9381/20/1/303
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
S. Gonçalves
中科院分区：
文献类型：
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作者：
S. Gonçalves
我们考虑最一般的真空圆柱时空，它是由两个整体的，类空的，可交换的，非超曲面正交的Killing向量场定义的。在这样的时空中，柱面波包含+和×两种偏振，因此被称为非偏振。我们表明，有没有被困的圆柱体的时空，并提出了一个正式的推导索恩的C-能量，基于一个哈密顿约化方法。使用布朗-约克准局部能量处方，我们计算系统的实际物理能量（每单位Killing长度），这对应于生成与给定的固定空间边界正交的单位适当时间平移的哈密顿量的值。C-能量是Brown-York准局部能量的单调非多项式函数。最后，我们表明，布朗-约克能量在空间无限远的渐近亏损角的方式完全相同的一个直的宇宙弦的特定质量是前者。
We consider the most general vacuum cylindrical spacetimes, which are defined by two global, spacelike, commuting, non-hypersurface-orthogonal Killing vector fields. The cylindrical waves in such spacetimes contain both + and × polarizations, and are thus said to be unpolarized. We show that there are no trapped cylinders in the spacetime, and present a formal derivation of Thorne's C-energy, based on a Hamiltonian reduction approach. Using the Brown–York quasilocal energy prescription, we compute the actual physical energy (per unit Killing length) of the system, which corresponds to the value of the Hamiltonian that generates unit proper-time translations orthogonal to a given fixed spatial boundary. The C-energy turns out to be a monotonic non-polynomial function of the Brown–York quasilocal energy. Finally, we show that the Brown–York energy at spatial infinity is related to an asymptotic deficit angle in exactly the same manner as the specific mass of a straight cosmic string is to the former.