发表机构
S. N. Bose National Centre for Basic Sciences（S.N. 玻色基础科学国家中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在慢旋转黑洞时空中，利用WKB近似和戈登分解计算自旋-曲率相互作用力，发现旋转参数引入更快衰减的修正项，使粒子偏离测地线。
AI 中文摘要
我们研究了慢旋转黑洞时空中大质量自旋-1/2量子粒子的自旋-曲率相互作用。与平坦的闵可夫斯基空间相比，弯曲时空由于直接的曲率-自旋相互作用，在狄拉克方程中引入了非平凡的自旋联络。由这种非平凡的自旋-曲率耦合产生的力使粒子偏离其测地线。我们首先在慢旋转黑洞背景下计算粒子共动参考系中的四脚场。然后，利用这些共动四脚场，我们计算了由自旋-曲率相互作用产生的相对论量子力的分量，计算精度达到黑洞旋转参数（$a$）的线性阶。计算力的过程基于WKB近似和狄拉克概率四电流的戈登分解方法。我们的结果表明，旋转参数通过引入一项随径向距离衰减比静态球对称史瓦西黑洞时空中的力幅值更快的项来修正力的大小。
英文摘要
We investigate the spin-curvature interaction for a massive spin-1/2 quantum particle in a slowly rotating black hole spacetime. In contrast to the flat Minkowski space, the curved spacetime introduces non-trivial spin connections into the Dirac equation due to the direct curvature-spin interaction. The force arising from this non-trivial spin-curvature coupling makes the particle deviate from its geodesics. We first calculate the tetrads in the co-moving frame of the particle in the slowly rotating black hole background. We then compute the components of the relativistic quantum force, arising from the spin-curvature interaction, using these co-moving tetrads up to linear order in the rotation parameter ($a$) of the black hole. The procedure of computing the force is based on the WKB approximation and the Gordon decomposition method for the Dirac probability four current. Our results show that the rotation parameter modifies the magnitude of the force by introducing a term that decays more rapidly with radial distance than the force magnitude in a static spherically symmetric Schwarzschild black hole spacetime.
Comments10 pages
