幂律旋转Kalb-Ramond几何中的Blandford-Znajek标度：磁通量系统学与贝叶斯可识别性
Blandford-Znajek Scaling in a Power-Law Rotating Kalb-Ramond Geometry: Magnetic-Flux Systematics and Bayesian Identifiability
AI总结：
该研究在幂律旋转Kalb-Ramond几何下分析BZ标度，发现磁假设是主导系统误差，喷流功率代理无法独立确定Kalb-Ramond形变，需改进旋转背景等控制以开展更强推断。
AI中文摘要：
旋转黑洞的相对论喷流通过Blandford-Znajek（BZ）机制为强引力场探测提供了可能。我们研究了Kumar、Ghosh和Wang提出的四维幂律旋转Kalb-Ramond几何中的主导喷流功率标度，此处将该度规作为静态背景，不假设其为新建立的精确旋转解。我们首先考察度规层面的形变：当s=2时，形变完全被质量重定义吸收；当s>2时，修正项衰减比通常的质量项更慢。因此我们的主要基准是简并的s=3/2情况，其修正项比Kerr质量项衰减更快；s=3则作为次要比较对象。我们在三种磁假设下评估BZ标度：固定总视界通量、固定具有适当视界面积的局域法向场，以及基于简化半径的通量代理。所得趋势差异显著，表明磁假设本身就是主导系统误差。对于GRO J1655-40和GRS 1915+105，无论是均匀先验还是截断高斯替代先验，边缘化形变后验仍接近视界条件有效先验；仅喷流的剖面似然在允许的形变范围内也近乎平坦，s=3的测试中呈现相同定性行为。因此，在当前设定下，喷流功率代理无法独立确定Kalb-Ramond形变。更强的推断将需要更好地控制旋转背景、源相关的磁通量、非Kerr自旋估计以及更大的样本。
英文摘要：
Relativistic jets from spinning black holes offer a possible strong-field probe of gravity through the Blandford-Znajek mechanism. We study the leading jet-power scaling in the four-dimensional power-law rotating Kalb-Ramond geometry introduced by Kumar, Ghosh, and Wang. The metric is used here as a stationary background, without assuming that it constitutes a newly established exact rotating solution. We first examine the deformation at the metric level. For $s=2$ it is absorbed completely by a mass redefinition, whereas for $s>2$ the correction decays more slowly than the usual mass term. Our main benchmark is therefore the nondegenerate $s=3/2$ case, whose correction falls faster than the Kerr mass term; $s=3$ is kept as a secondary comparison. We evaluate the BZ scaling under three magnetic assumptions: fixed total horizon flux, fixed local normal field with the proper horizon area, and a reduced radius-based flux proxy. The resulting trends differ appreciably, showing that the magnetic prescription is itself a leading systematic. For GRO J1655-40 and GRS 1915+105, the marginalized deformation posterior remains close to the horizon-conditioned effective prior for both a uniform prior and a truncated-Gaussian alternative. The jet-only profile likelihood is also nearly flat over the allowed deformation range, with the same qualitative behavior in the $s=3$ test. Thus, within the present setup, the jet-power proxies do not independently determine the Kalb-Ramond deformation. A stronger inference will require better control of the rotating background, source-dependent magnetic flux, non-Kerr spin estimates, and a larger sample.
