Tunnelling Phenomenon Near The Apparent Horizon Of The Dilaton Gravity Theory

In this paper,we study the tunneling phenomenon near the apparent horizon of the two-dimensional dilaton gravity.As the tunneling interpretation of Hawking radiation in the high dimensional spacetimes,we use the Hamilton-Jacobi method to study the tun-neling phenomenon near the horizon.We will see that the tunneling phenomenon is very general as long as there is a horizon in the spacetime,By computing the imaginary part of the action of the tunneling particle and comparing with the WKB approximation,we can get the radiation spectrum and temperature.If the usual relationship between the temperature and surface gravity is valid,we can get the surface gravity of the horizon immediately.Also,we will use the null geodesic method to calculate the spectrum and surface gravity in stationary case.