动态球对称或平面对称时空的共形性质和Hawking效应

HAWKING EFFECT AND CONFORMAL PROPERTY OF NON-STATIC SPHERICALLY SYMMETRIC OR PLANE-SYMMETRIC SPACE-TIME

在动态球对称或平面对称时空中,用乌龟坐标表示的二维时空线元,在视界附近一定显式共形于二维明氏时空线元。这就是Klein-Gordon方程在视界附近必定约化成标准波动方程的原因。它表明,在时空的共形性质和Hawking效应之间存在某种联系。

A 2-dimensional space-time line element represented with tortoise coordinate around an event horizon, in every non-static spherically symmetric or plane-symmetric space-time, is explicitly conformal to the 2- dimensional Minkowski line element. This is why the Klein-Gordon equation must be reduced to the standard wave equation around the event horizon. It shows that there exists some relationship between the Hawking effect and the conformal property of space-time.