Moving observers, nonorthogonal boundaries, and quasilocal energy
Moving observers, nonorthogonal boundaries, and quasilocal energy
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移动观察者、非正交边界和准局域能量
DOI：
10.1103/physrevd.59.064021
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发表时间：
1998
影响因子：
5
通讯作者：
R. Mann
中科院分区：
文献类型：
--
作者：
I. Booth;R. Mann
流行的 Hamilton-Jacobi 方法首先由 Brown 和 York 提出，用于定义准局部量，例如空间边界区域的能量，假设类时边界与时空的叶状结构正交。出于理论和计算原因，这种限制都是不受欢迎的。我们删除了正交性假设，并表明关注类时边界的叶状结构比关注整个四维边界区域的叶状结构更自然。详细讨论了定义动作中附加术语的参考时空。为了证明这个新公式，我们计算了相对于史瓦西黑洞移动的观察者所看到的准局域能量。
The popular Hamilton-Jacobi method first proposed by Brown and York for defining quasilocal quantities such as energy for spatially bound regions assumes that the timelike boundary is orthogonal to the foliation of the spacetime. Such a restriction is undesirable for both theoretical and computational reasons. We remove the orthogonality assumption and show that it is more natural to focus on the foliation of the timelike boundary rather than the foliation of the entire four dimensional bound region. Reference spacetimes which define additional terms in the action are discussed in detail. To demonstrate this new formulation, we calculate the quasilocal energies seen by observers who are moving with respect to a Schwarzschild black hole.