一般旋转正则黑洞中的加速辐射、拟正规模和准束缚态
Acceleration radiation, quasinormal modes and quasi-bound states in generic rotating regular black holes
- Harbin Institute of Technology（哈尔滨工业大学）
- New Uzbekistan University（新乌兹别克斯坦大学）
- Eastern Mediterranean University（东地中海大学）
- Mapúa University（玛布亚科技学院）
- National University of Uzbekistan（乌兹别克斯坦国立大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究一般旋转正则黑洞中加速辐射、拟正规模和准束缚态，提出解析极端参数化并推导出射通道修正，验证WKB结果，区分视界热性与外部动力学。
AI中文摘要：
我们研究了可分离的Kerr-like旋转度规中带有非线性电动力学质量分布的中性标量场的地平线增亮加速辐射。主分支具有$M=0$和$\mu=3$，其中心曲率极限有限但依赖于方向。一个解析的极端电荷-自旋参数化确定了黑洞区域。在简单外视界处，标量方程约化为局域共形量子力学，具有共转能量$\epsh=\omega-m\OmH$。对于孤立的出射通道，我们推导了固有时中的第一个有限间隙修正，包括径向Frobenius系数、角变化、测地线项和切换斜率。这用协议定义的细致平衡亲和力取代了坐标依赖的轨迹相位乘数。对出射标量方程的直接积分和赤道内落轨迹验证了该展开式适用于明确指定的有限门；一个可解的对数模极限将切换贡献与几何贡献分开。我们还分析了受迫的赤道圆轨道原子，并表明共转和逆转的超相对论运动产生模式依赖的轨道响应，而不是内落霍金亲和力。我们识别了收缩的近极端径向尺度，并量化了未选择的第二径向分支的影响，而不断言均匀的极端极限。随机原子注入给出了选定模式的主方程和非负种群熵产生恒等式。直接的第一定律可积性测试表明为什么视界面积记账对于这种离壳度规仍然是有条件的。独立收敛的Chebyshev标量拟正规频率验证了WKB结果，并探测了领先视界数据之外的外部几何。计算区分了分支分辨的视界热性、有限探测器协议和外部标量动力学。
英文摘要：
We study horizon-brightened acceleration radiation for a neutral scalar field in separable Kerr-like rotating metrics with nonlinear-electrodynamic mass profiles. The principal branch has $M=0$ and $μ=3$, with finite but direction-dependent central curvature limits. An analytic extremal charge--spin parametrization fixes the black hole domain. At a simple outer horizon, the scalar equation reduces to local conformal quantum mechanics with corotating energy $\epsh=ω-m\OmH$. For an isolated outgoing channel we derive the first finite-gap correction in proper time, including the radial Frobenius coefficient, angular variation, geodesic terms, and switching slope. This replaces a coordinate-dependent trajectory-phase multiplier by a protocol-defined detailed-balance affinity. Direct integration of the outgoing scalar equation and an equatorial infalling trajectory validates the expansion for an explicitly specified finite gate; a solvable logarithmic-mode limit separates switching from geometric contributions. We also analyze forced equatorial circular atoms and show that co-rotating and counter-rotating ultra-relativistic motion yields a mode-dependent orbital response rather than the infalling Hawking affinity. We identify the shrinking near-extremal radial scale and quantify the effect of an unselected second radial branch, without asserting a uniform extremal limit. Random atomic injection gives a selected-mode master equation and a nonnegative population entropy-production identity. A direct first-law integrability test shows why horizon-area bookkeeping remains conditional for this off-shell metric. Independently converged Chebyshev scalar quasinormal frequencies validate the WKB results and probe the exterior geometry beyond the leading horizon data. The calculation distinguishes branch-resolved horizon thermality, finite detector protocol, and exterior scalar dynamics.
