自旋粒子在暗物质晕环绕的类克尔黑洞中的运动OA
Spinning Particle Motion around Kerr-like Black Hole Surrounded by the Dark Matter Halo
针对被暗物质晕环绕的类克尔黑洞的引力动力学特性展开研究,重点探究暗物质晕对自旋粒子运动的影响.基于马西森-帕帕佩特鲁-狄克森(Mathisson-Papapetrou-Dixon,MPD)方程,结合 Tulczyjew 自旋补充条件(spin supplementary condition,SCC),推导得到自旋粒子的有效势,并分析其最内稳定圆轨道(innermost stable circular orbit,ISCO)的物理特征.结果表明,随着暗物质晕密度与半径的增大,自旋粒子ISCO的轨道半径与角动量均呈现单调递增规律;而能量则表现出显著的非单调变化特征,先随暗物质晕参数增大而降低,达到最小值后逐步回升.研究结果深化了对黑洞与暗物质晕之间引力相互作用机制的认识,为理解其复杂动力学过程提供了理论依据.
Investigations were conducted on the gravitational dynamical properties of Kerr-like black holes surrounded by dark matter halos,with a focus on examining the influence of dark matter halos on the motion of spinning particles.The Mathisson-Papapetrou-Dixon(MPD)equation combined with the Tulczyjew spin supplementary condition(SCC)was employed to derive the effective potential of spinning particles,and the physical characteristics of their innermost stable circular orbit(ISCO)were analyzed.The results indicated that as the density and radius of the dark matter halo increased,both the orbital radius and angular momentum of the spinning particles' ISCO exhibited a monotonically increasing trend;in contrast,the energy showed significant non-monotonic variation characteristics:it first decreased with the increase of dark matter halo parameters,reached a minimum value,and then rose gradually.The research findings deepened the understanding of the gravitational interaction mechanism between black holes and dark matter halos,providing a theoretical basis for comprehending their complex dynamical processes.
张程健;刘显明
湖北民族大学 数学与统计学院,湖北 恩施 445000湖北民族大学 智能科学与工程学院,湖北 恩施 445000
数理科学
类克尔黑洞自旋粒子最内稳定圆轨道暗物质晕有效势
Kerr-like black holespinning particlesinnermost stable circular orbitdark matter haloeffective potential
《湖北民族大学学报(自然科学版)》 2026 (1)
101-109,9
国家自然科学基金项目(11365008,11711530645)湖北省高等学校优秀中青年科技创新团队项目(T201712)湖北民族大学校内培育项目(4205007).
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