广义Tortoise坐标变换与Hawking过程

THE GENERALIZED TORTOISE COORDINATE TRANSFORMATION AND HAWKING PROCESSES

通过对Ｖａｉｄｙａ和动态Ｒｉｎｄｌｅｒ时空中各种粒子动力学方程的讨论，论证了在随时间变化的度规中引入新的坐标，可将稳态时空定义Ｔｏｒｔｏｉｓｅ坐标变换的方法推广到动态情况，所得到的Ｔｏｒｔｏｉｓｅ坐标变换中的温度函数明显依赖于时间，同时证明了Ｈａｗｋｉｎｇ过程与动力学方程中源项的存在无关．发现在动态Ｒｉｎｄｌｅｒ情况这样以普通时间ｔ描述的时空中。

Abstract By discussing on the dynamical equations of sorts of particles in the non stationary Rindler and the Vaidya space time,it is shown that after introducing new coordinates into a time dependent metric,the method to define the tortoise coordinate transformation in a stationary space time can be generalized to a non stationary case.The character of the obtained tortoise transformation is that the temperature function is obviously dependent on time.It is also shown that the Hawking processes are independent of the source terms in the dynamical equations.Particularly,we find a picture where particle scattering must be twice in the Hawking radiation described by the general time t such as in the non stationary Rindler case.