用共形平直方法研究一般球对称带电蒸发黑洞的温度

Study on Temperature of General Spherical Symmetric and Charged Evaporating Black Hole by Conformal Flat Method

球对称动态时空中,用Tortoise坐标表示的二维时空线元在黑洞视界附近一定显示共形于二维Minkowski时空线元,由此可以定出一般球对称带电蒸发黑洞视界的位置和温度,并进一步指出了它是K G方程在视界附近能化成波动方程标准形式的几何根源.

The 2-dimensional space-time line element represented with tortoise coordinate near black hole horizon conforms to 2-dimemension Minkowski space-time line element in dynamic spherical symmetric space-time. The position and the temperature of the general spherical symmetric and charged evaporating black hole horizon are decided by conformal flat method.It is further proved to be the geometric cause that K-G equation can be transformed to the standard form of wave equation near the horizon.