模拟Kerr度规的牛顿型引力势

A NEWTONIAN POTENTIAL SIMULATING THE KERR METRIC

本文对只局限于赤道面的模拟Ｋｅｒｒ度规的牛顿型引力势加以推广，使之能用来相当精确地描述轴对称强引力场中赤道面以外粒子和流体的运动。这种既能体现广义相对论效应而又使计算过程大为简化的牛顿势，对于许多天体物理问题（例如厚吸积盘）的研究是非常适用的。

The Newtonian potential in reference[3],which simulates the Kerr metric only on the equatorial plane,is generalized to be able to describe very accurately the motion of particles and fluids away from the equatorial plane in an axially symmetric strong gravitational field.Such a Newtonian potential is useful in studying astrophysical problems(e.g.thick accretion disks),since it is not only able to represent the general relativistic effects,but also to simplify calculations greatly.