论文标题
黑洞空间的参数超出圆形的参数
Parameterizations of black-hole spacetimes beyond circularity
论文作者
论文摘要
鉴于其对称性约束，我们讨论了黑洞间距在一般相对性中的参数化：在轴对称，固定的空间等级内，我们提出了一个参数化，包括非圆形间距，包括在Boyer-Lindquist和Horizon-pen-pen-Pentrating Coordination Coordinations中。我们展示了新的参数化中的现有参数化（首先，循环；第二，一个隐藏的运动常数）是如何包含的。此外，我们解释了为什么地平线渗透坐标可能更适合于从KERR几何形状中参数化非圆形偏差。我们的调查是由我们的结果激励的，即[1,2]中提出的常规，旋转的黑洞空间是非圆形的。与圆形的特定偏差可能导致尖端，凹痕和黑洞阴影周围光子环的不对称性。最后，我们探索了一类新的非圆形偏离Kerr黑洞，该偏差将旋转参数促进函数，并发现在这种情况下无法实现规律性的指示。根据将质量参数促进到功能的促进，这一结果加强了常规黑洞的情况。
We discuss parameterizations of black-hole spacetimes in and beyond General Relativity in view of their symmetry constraints: within the class of axisymmetric, stationary spacetimes, we propose a parameterization that includes non-circular spacetimes, both in Boyer-Lindquist as well as in horizon-penetrating coordinates. We show how existing parameterizations, which make additional symmetry assumptions (first, circularity; second, a hidden constant of motion), are included in the new parameterization. Further, we explain why horizon-penetrating coordinates may be more suitable to parameterize non-circular deviations from the Kerr geometry. Our investigation is motivated by our result that the regular, spinning black-hole spacetimes proposed in [1,2] are non-circular. This particular deviation from circularity can result in cusps, a dent and an asymmetry in the photon rings surrounding the black-hole shadow. Finally, we explore a new class of non-circular deviations from Kerr black holes, which promote the spin parameter to a function, and find indications that regularity cannot be achieved in this setting. This result strengthens the case for regular black holes based on a promotion of the mass parameter to a function.
