AI 中文总结
研究Horndeski引力中受一阶标量-张量耦合扰动的CGHS黑洞霍金蒸发，发现其温度随质量损失动态冷却，蒸发会停止形成冷残余物，辐射纠缠熵转为对数增长，量子信息可保留。
AI 中文摘要
我们研究受一阶Horndeski标量-张量耦合扰动的二维Callan-Giddings-Harvey-Strominger（CGHS）黑洞的半经典霍金蒸发过程。通过计算精确的标量曲率不变量，我们证明表观视界附近的坐标奇异性参数化了表面引力的物理形变，同时保持事件视界严格正则。在三阶γ₃ΦX耦合扇区中，随着黑洞质量损失，表面引力及对应的霍金温度会动态降低。通过重求和温度方程外推该冷却效应表明，蒸发过程会停止，可能在微扰控制边界留下稳定的宏观冷残余物。利用共形迹 anomaly 和Robinson-Wilczek引力 anomaly，我们确定渐近辐射通量恰好反映这种几何变化。因此，霍金辐射的精细纠缠熵偏离线性增长，过渡到渐近对数 regime，这表明量子信息可能永久保留在残余物中，改变了标准半经典佩奇曲线，且无需破坏视界正则性。
英文摘要
We investigate the semiclassical Hawking evaporation of a two-dimensional Callan-Giddings-Harvey-Strominger (CGHS) black hole perturbed by first-order Horndeski scalar-tensor couplings. By evaluating the exact scalar curvature invariants, we demonstrate that coordinate singularities near the apparent horizon parametrize a physical deformation of the surface gravity while preserving a strictly regular event horizon. In the linear-order $γ_3 ΦX$ coupling sector, the surface gravity and correspondingly the Hawking temperature decreases dynamically as the black hole loses mass. Extrapolating this cooling effect via a resummed temperature equation suggests that evaporation halts, potentially leaving behind a stable, macroscopic cold remnant at the boundary of perturbative control. Utilizing both the conformal trace anomaly and the Robinson-Wilczek gravitational anomaly, we establish that the asymptotic radiation flux identically reflects this geometric shift. Consequently, the fine-grained entanglement entropy of the Hawking radiation departs from linear growth and transitions to an asymptotic logarithmic regime. This indicates that quantum information may be permanently retained within the remnant, altering the standard semiclassical Page curve without requiring a breakdown of horizon regularity.
Comments22 pages, 8 figures, comments welcome
