We generalize the first law of black hole mechanics to the rotating, charged C-metric and to the Ernst metric, both of which have the charged C-metric as a special case. All of these metrics are (3 + 1)-dimensional, have vanishing cosmological constant, and physically describe a pair of black holes pulled apart to null infinity by some external force. Our first laws are global in the sense of applying to an entire patch of spacetime, as opposed to a neighborhood of the black hole. They are formulated with respect to ‘boost time’, whose primacy is motivated by the celestial holographic approach to scattering amplitudes.

中文翻译：

---

加速黑洞的全球第一定律

我们将黑洞力学第一定律推广到旋转的带电 C 度量和 Ernst 度量，两者都将带电 C 度量作为特例。所有这些度量都是 (3 + 1) 维的，具有消失的宇宙常数，并且物理上描述了一对被某种外力拉开至零的黑洞。从适用于整个时空区域的意义上来说，我们的第一定律是全球性的，而不是黑洞附近的区域。它们是根据“加速时间”制定的，其首要原因是天体全息方法对散射幅度的推动。