变加速直线运动的Kerr黑洞的量子热效应

THE QUANTUM THERMAL EFFECT OF A NON-UNIFORMLY RECTILINEARLY ACCELERATING KERR BLACK HOLE

本文给出了作变加速直线运动的动态Kerr黑洞的辐射温度和视界面方程.此温度不仅是时间的函数,而且与角度有关.视界的位置随时间变化,形状不是球对称的.当加速度为零或角动量为零时,所得结论能分别回到已知的结果.

Using a new method suggested by authors, the radiative temperature and the event horizon equation of a non-uniformly rectilinearly accelerating and non-stationary Kerr black hole are given in this paper without calculating the vacuum expectation values of the renormalised energy-momentum tensor. The temperature is not only dependent on the time, but also on the angle. The location of the event horizon depends on the time, and its shape is not spherically symmetric. With the generalized tortoise coordinate, the Klein-Gordon equation can be reduced to the standard wave equation around the event horizon. The outgoing wave is not analytical, but it ctn be extended from the outside of black hole into the inside by analytical continuation through the lower half complex plane. Then the relative scattering probability of the outgoing wave at the horizon is shown, and the spectrum of the Hawking radiation is given. It is just the Planck spectrum at each moment and each space point of the event horizon although the temperature varies wtih time and polar angle.