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arXiv 0905.2730gr-qcastro-ph.SR
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磁场中膜世界中带电粒子绕旋转黑洞的运动

Charged Particle Motion Around Rotating Black Hole in Braneworld Immersed in Magnetic Field

Ahmadjon Abdujabbarov, Bobomurat Ahmedov

摘要:

给出了处于均匀磁场中的膜世界黑洞背景时空中麦克斯韦方程组的解析解,利用Hamilton-Jacobi方法研究了磁场和膜参数对带电测试粒子绕处于均匀磁场中的膜世界慢转黑洞径向运动有效势的影响.本文导出了膜世界中测试粒子绕非旋转孤立黑洞运动的最内层稳定圆轨道半径$r_{\rm ISCO}$与膜参数的关系的精确解析解。结果表明,半径$r_{\rm ISCO}$随膜潮荷模数的增大而单调增长。比较了膜世界模型对$r_{\rm ISCO}$的预言和ISCO对黑洞周围相对论吸积盘的观测结果,给出了膜潮汐荷$\lesssim 10^9 {\rm cm}^2$的上限。

英文摘要:

Analytical solutions of Maxwell equations in background spacetime of black hole in braneworld immersed in external uniform magnetic field have been found. Influence of both magnetic and brane parameters on effective potential of the radial motion of charged test particle around slowly rotating black hole in braneworld immersed in uniform magnetic field has been investigated by using Hamilton-Jacobi method. Exact analytical solution for dependence of the radius of the innermost stable circular orbits (ISCO) $r_{\rm ISCO}$ from brane parameter for motion of test particle around nonrotating isolated black hole in braneworld has been derived. It has been shown that radius $r_{\rm ISCO}$ is monotonically growing with the increase of module of brane tidal charge. Comparison of the predictions on $r_{\rm ISCO}$ of the brane world model and of the observational results of ISCO from relativistic accretion disks around black holes provided upper limit for brane tidal charge $\lesssim 10^9 {\rm cm}^2$.

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