标题： 动态黑洞熵 显示英文标题

标题： Dynamic black-hole entropy

摘要： 我们考虑动态（非平稳）球对称黑洞的两个非统计熵定义。 第一个类似于热力学熵的原始克劳修斯定义：存在一个包含能量供给项的第一定律，该能量供给项等于表面重力乘以全微分。 第二个是瓦尔德的诺特定理电荷方法，通过使用科达玛流适应于动态黑洞。 这两种定义在爱因斯坦引力中给出相同的结果：捕获视界的面积的四分之一。 显示英文摘要

摘要： We consider two non-statistical definitions of entropy for dynamic (non-stationary) black holes in spherical symmetry. The first is analogous to the original Clausius definition of thermodynamic entropy: there is a first law containing an energy-supply term which equals surface gravity times a total differential. The second is Wald's Noether-charge method, adapted to dynamic black holes by using the Kodama flow. Both definitions give the same answer for Einstein gravity: one-quarter the area of the trapping horizon.