论文标题
加速黑洞热力学随时间增加
Accelerating Black Hole Thermodynamics with Boost Time
论文作者
论文摘要
我们为带电的c-metric提供了热力学第一定律，其消失了宇宙常数。这个时空描述了一对相同的加速黑洞，每个孔都被宇宙弦拉。将这个时空的“增强时间”视为规范时期，我们找到了热力学的第一定律，其中每个术语具有明确的物理含义。然后，我们展示如何使用协变相形式中的Noether方法来得出这一第一定律。我们认为，加速度范围的面积有助于熵，并且该时空的适当能量概念是“增强质量”，它消失了。还证明了在小弦张力的极限下恢复Reissner-Nordstrom第一定律。最后，我们计算了C-Metric的Euclidean部分的作用，并表明它与热力学巨大潜力一致，从而独立确认了我们第一定律的有效性。我们还简要推测了在这个时空中防火墙的重要性。
We derive a thermodynamic first law for the electrically charged C-metric with vanishing cosmological constant. This spacetime describes a pair of identical accelerating black holes each pulled by a cosmic string. Treating the "boost time" of this spacetime as the canonical time, we find a thermodynamic first law in which every term has an unambiguous physical meaning. We then show how this first law can be derived using Noetherian methods in the covariant phase space formalism. We argue that the area of the acceleration horizon contributes to the entropy and that the appropriate notion of energy of this spacetime is a "boost mass", which vanishes identically. The recovery of the Reissner-Nordstrom first law in the limit of small string tension is also demonstrated. Finally, we compute the action of the Euclidean section of the C-metric and show it agrees with the thermodynamic grand potential, providing an independent confirmation of the validity of our first law. We also briefly speculate on the significance of firewalls in this spacetime.
