轴对称外部磁场下整体正规Schwarzschild黑洞时空中的测地线运动

GEODESIC MOTIONS IN GLOBALLY REGULAR SPACE-TIME OF SCHWARZSCHILD BLACK HOLE THE PRESENCE OF EXTERNAL AXIAL MAGNETIC FIELD

在推广的Schwarzschild内部度规的基础上,研究了存在轴对称磁场情况下的整体正规Schwarzschild内部时空中的测地线运动,给出了有效势对磁场和角动量的依赖关系和圆测地线运动的存在区域,并详细讨论了束缚态存在的判据。

The geodesic motion in interior globally regular Schwarzschild space-time isstudied on the basis of the generalized Schwarzschild interior metric in the presen-ce of axial magnetic-field. The dependences of effective potential on the magneticfield and the angular momentum are discussed. The region for the existence of cir-cular geodesic motion is also given. The criterion for the existence of bound statesis then discussed in detail.