发表机构
Abdus Salam Centre for Theoretical Physics, Imperial College London（阿卜杜斯·萨拉姆理论物理中心，伦敦帝国理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究静态球对称黑洞几何，将Brown-York张量角分量与温度结合定义准局域熵，验证其满足协变熵猜想。
AI 中文摘要
我们证明，对于静态且球对称的黑洞几何，有限半径边界上Brown-York张量的角分量可被解释为Tolman-Ehrenfest温度与一个准局域熵的乘积。该熵在空间无穷远处为零，随半径减小单调递增，在视界处达到最大值，等于Bekenstein-Hawking熵。因此，该熵的行为为协变熵猜想提供了明确验证。
英文摘要
We show that for static & spherically symmetric black hole geometries, the angular components of the Brown-York tensor on a finite radius boundary can be interpreted as the product of the Tolman-Ehrenfest temperature and a quasi-local entropy. This entropy vanishes at spatial infinity and monotonically increases as radius decreases, taking its maximum value on the horizon where it is equal to the Bekenstein-Hawking entropy. Thus, the behaviour of this entropy provides explicit verification of the covariant entropy conjecture.
