论文标题
固定空间中的棕色York能量
Brown-York energy in stationary spacetimes
论文作者
论文摘要
通常，一个将嵌入在空间般的3片中的2个表面的棕色能量定义为具有适当的参考3空间的2个表面等轴向嵌入2片的平均曲率的整合。我们证明，这种天真的定义对于固定的空间不良。例如，我们详细研究了Kerr-Newman时空。我们表明，棕色能量的天真定义不是棕色York边界应力张量的组成部分，因此偏离了Brown和York的原始思想。此外，我们为Kerr-Newman时空提供了Brown-York Energy的确切形式，并提供了适当的参考。
One usually defines the Brown-York energy for a 2-surface embedded in a spacelike 3-slice as an integration of the mean curvature of the 2-surface isometrically embedded into the 3-slice, with a proper reference 3-space. We demonstrate that this naive definition is ill for stationary spacetimes. As an example, we investigate the Kerr-Newman spacetime in detail. We show that the naive definition of the Brown-York energy is not a component of the Brown-York boundary stress tensor, and thus deviates from the original idea of Brown and York. Furthermore, we present the exact form of the Brown-York energy for the Kerr-Newman spacetime with the proper reference.
