标题： 环量子引力中浸没在磁场中的自对偶黑洞周围的吸积盘的粒子动力学 显示英文标题

标题： Particle dynamics and the accretion disk around a Self-dual Black Hole immersed in a magnetic field in Loop Quantum Gravity

摘要： 本文研究了自旋圈量子引力（LQG）中嵌入外部渐近均匀磁场的自对偶黑洞附近的磁偶极子和带电粒子的运动。我们探讨了量子修正参数和电磁相互作用对粒子测地线的影响。我们推导了场方程，并确定了LQG中自对偶黑洞的电磁四维势。我们详细研究了磁偶极子和带电粒子的最内稳定圆轨道（ISCO），表明量子修正参数显著影响ISCO半径，使其缩小。此外，我们证明由于磁场相互作用，磁偶极子的ISCO半径大于带电粒子的半径。我们研究了磁偶极子和带电粒子的ISCO参数（即$r_{ISCO}$,$l_{ISCO}$,$\mathcal{E}_{ISCO}$,$v_{ISCO}$和$\Omega_{ISCO}$），并提供了详细的数值。此外，我们考察了量子修正参数$P$导致的各种情况下带电粒子的轨迹。最后，通过分析定义吸积盘内边缘的ISCO参数，我们探索了LQG中的自对偶黑洞周围的吸积盘。我们深入研究了吸积盘的电磁辐射通量、温度和微分亮度等辐射特性。我们表明量子修正参数使电磁通量和吸积盘温度的分布向中心天体偏移，导致这些量略有增加。 显示英文摘要

摘要： In this paper, we study the motion of magnetic dipoles and electrically charged particles in the vicinity of a self-dual black hole in Loop Quantum Gravity (LQG) immersed in an external asymptotically uniform magnetic field. We explore the effects of the quantum correction parameter and electromagnetic interactions on the particle geodesics. We derive the field equations and determine the electromagnetic four-vector potential for the case of a self-dual black hole in LQG. We investigate the innermost stable circular orbits (ISCOs) for both magnetic dipoles and electrically charged particles in detail, demonstrating that the quantum correction parameter significantly influences on the ISCO radius, causing it to shrink. Additionally, we show that the ISCO radius of magnetic dipoles is greater than that of electrically charged particles due to the magnetic field interaction. We investigate the ISCO parameters (i.e., $r_{ISCO}$, $l_{ISCO}$, $\mathcal{E}_{ISCO}$, $v_{ISCO}$, and $\Omega_{ISCO}$) for magnetic dipoles and electrically charged particles, providing detailed values. Furthermore, we examine the trajectories of charged particles under various scenarios resulting from the quantum correction parameter $P$. Finally, analyzing the ISCO parameters that define the inner edge of the accretion disk, we explore the accretion disk around a self-dual black hole in LQG. We delve into the electromagnetic radiation flux, temperature, and differential luminosity as radiation properties of the accretion disk in detail. We show that the quantum correction parameter shifts the profile of the electromagnetic flux and accretion disk temperature towards the central object, leading to a slight increase in these quantities.