加速反德西特黑洞中的解析麦克斯韦边界形式与精确折返标度
Resolved Maxwell-Boundary Normal Forms and Exact Reentrant Scaling in Accelerating AdS Black Holes
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中文总结 AI 辅助
研究加速反德西特黑洞折返相变，通过解决带电缓慢加速C度规的麦克斯韦转折问题，确定全局相选择，发现轨迹存在范围及相关特性，明确转折机制，还能通过牛顿数据确定共存轮廓等，为该相变研究提供解析解释。
中文摘要 AI 辅助
加速反德西特黑洞的折返相变在数值上是已知的，但在小弦张力下其明显消失缺乏解析解释。在固定压力、电荷和张力的单弦系综中，我们解决了带电缓慢加速C度规的无限制两相麦克斯韦转折问题。消除使两个视界坐标重合并产生一个封闭的单参数轨迹。对其余平衡点的详尽枚举确定了整个物理黑洞扇区的全局相选择。该轨迹在\(0<\mu<0.202602\)存在，无正下限阈值。当\(\mu\to0\)时，折返窗口的压力和温度宽度按张力的四次方和三次方收缩，而熵差和潜热发散。双图放大给出无参数极限轮廓并将热力学体积反转确定为两个不同非临界相之间的转折机制。在具有固定片入射的麦克斯韦边界处，热力学跃变的射影牛顿数据确定主导共存轮廓。它们的正单根确定转折数、阶数和曲率符号；C度规实现原始二项式类。
英文摘要
Reentrant phase transitions of accelerating anti-de Sitter black holes are known numerically, but their apparent loss at small string tension has lacked an analytic explanation. In the single-string ensemble at fixed pressure, charge, and tension, we solve the unrestricted two-phase Maxwell-turning problem for the charged slowly accelerating C-metric. Elimination forces the two horizon coordinates to coincide and yields a closed one-parameter locus. An exhaustive enumeration of the remaining equilibria establishes global phase selection throughout the physical black-hole sector. The locus exists for $0<μ<0.202602$, with no positive lower threshold. As $μ\to0$, the pressure and temperature widths of the reentrant window contract as the fourth and third powers of the tension, while the entropy gap and latent heat diverge. A two-chart blow-up gives a parameter-free limiting profile and identifies thermodynamic-volume inversion as the turning mechanism between two distinct noncritical phases. At a Maxwell boundary with fixed sheet incidence, projective Newton data of the thermodynamic jumps determine the leading coexistence profile. Their positive simple roots fix the turn count, order, and curvature signs; the C-metric realizes the primitive binomial class.
