Kerr参考的动力学Chern-Simons引力中旋转黑洞的解析参数化

中文摘要 AI 辅助

动力学Chern-Simons引力中的旋转黑洞主要通过数值解以非微扰方式已知，这限制了它们在强场应用中的直接使用。我们利用紧凑径向坐标、低阶角向多极子和连分数，构建了近广义相对论数值分支的Kerr参考解析参数化。所得的双参数族在验证的弱耦合和中等自旋范围内精确再现了数值度规。独立的非网格解证实，该参数化在校准集之外仍保持其精度。我们进一步通过赤道光环、临界碰撞参数以及不假设可分离性的全二维零测地线光线追踪来评估该模型。所得的阴影观测量与从数值几何获得的观测量紧密匹配。因此，该参数化为测地线和强场计算提供了一种实用的解析度规，而无需依赖慢旋转展开。

英文摘要

Rotating black holes in dynamical Chern-Simons gravity are known nonperturbatively mainly through numerical solutions, which limits their direct use in strong-field applications. We construct a Kerr-referenced analytical parametrization of the near-general-relativistic numerical branch using a compact radial coordinate, low-order angular multipoles, and continued fractions. The resulting two-parameter family accurately reproduces the numerical metric throughout the validated weak-coupling and moderate-spin domain. Independent off-grid solutions confirm that the parametrization retains its accuracy away from the calibration set. We further assess the model through equatorial light rings, critical impact parameters, and full two-dimensional null-geodesic ray tracing without assuming separability. The resulting shadow observables closely match those obtained from the numerical geometries. This parametrization therefore provides a practical analytical metric for geodesic and strong-field calculations without relying on a slow-rotation expansion.

发表机构

• New Uzbekistan University（新乌兹别克斯坦大学）
• Tashkent State Technical University（塔什干国立技术大学）
• Institute of Theoretical Physics, National University of Uzbekistan（乌兹别克斯坦国立大学理论物理研究所）
• School of Physics, Harbin Institute of Technology（哈尔滨工业大学物理学院）

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