AI 中文总结
研究为黑洞电影半解析模型的发射流处方和源变化性提出统一模型，通过规定克尔流体旋转定律及利用其构建高斯随机场，提供参数化模型，得到可用于相对论研究的厚盘和盘喷流发射实施处方。
AI 中文摘要
黑洞电影的半解析模型需要发射流处方和随时间变化的源变化性。现有处方通常限于赤道发射或与时间无关的源。在这项工作中，我们为这两个要素提出了一个统一模型。首先，通过将赤道特定角动量剖面提升到圆柱面，规定赤道外、非测地线的克尔流体旋转定律，将四速度的极向分量设为零，在时空点用完整的克尔度规对流动进行归一化，并保留在需要时恢复类似测地线的下落处方的选项。其次，我们将此速度用作四维非均匀、各向异性的类马特恩高斯随机场中的盘对流场。我们通过单个复合相关张量为类似环面的盘和中央喷流提供了一个参数化模型。所得的有效模型是用于相对论研究中随时间变化的厚盘和盘喷流发射的可直接实施的处方。
英文摘要
Semi-analytic models of black-hole movies require both an emitting flow prescription and a time-dependent source variability. Existing prescriptions are often limited to either equatorial emission or time-independent sources. In this work we present a unified model for these two ingredients. First, we prescribe an off-equatorial, nongeodesic Kerr fluid rotation law by lifting an equatorial specific-angular-momentum profile to cylindrical surfaces, setting the polar component of the four-velocity to zero, normalizing the flow with the full Kerr metric at the spacetime point, and retaining the option to recover a geodesic-like plunging prescription when needed. Second, we use this velocity as the disk advection field in a four-dimensional inhomogeneous, anisotropic Matérn-like Gaussian random field. We provide a parametrized model for a torus-like disk and a central jet through a single composite correlation tensor. The resulting effective model is an implementation-ready prescription for time-dependent thick-disk and disk-jet emission for relativistic studies.
Comments10 pages, 3 figures
