黑洞吸积盘内边缘半径的演化

The Evolution of the Inner Marginal Radius of the Black-Hole Accretion Disk

本文用广义相对论讨论了黑洞吸积盘内边缘半径ｒ（ｍｓ）的演化规律。结果表明，吸积盘的中心黑洞在由Ｓｃｈｗａｒｚｓｃｈｉｌｄ型向极端Ｋｅｒｒ型演化的过程中，黑洞的角动量变化对ｒ（ｍｓ）的影响始终比黑洞的质量变化对ｒ（ｍｓ）的影响大。在此过程中ｒ（ｍｓ）始终是连续、单调减小的。本文得出ｒ（ｍｓ）对时间变化率的取值范围，并对其物理意义作了讨论。

The evolution of the inner marginal radius r_(ms)of the black-hole accretion disk is investigated on the basis of general relativity. It is shown that r_(ms) is affected more strongly by the variation of black-hole angular momentum than that of blackhole mass during the whole evolution process from Schwarzschild black hole to extreme Kerr black hole. In addition,r_(ms) always decreases continuously and monotonously in this process. The range of values for the time derivative of r_(ms) is obtained and its physical meaning is discussed in this paper.