Based on the definition of the apparent horizon in a general two-dimensional dilaton gravity theory, we analyze the tunnelling phenomenon near the apparent horizon. In this theory the definition of the horizon is very different from those in higher-dimensional gravity theories. By using the Hamilton-Jacobi method, the spectrum of the radiation is obtained and the temperature of the radiation is read out from this spectrum. The temperature is proportional to the surface gravity of the apparent horizon as usual. Besides, in stationary cases we calculate the spectrum by using Parikh and Wilczek's null geodesic method and the result conforms to that obtained by using the Hamilton-Jacobi method. This is expected since the Hamilton-Jacobi method applies to generic spacetimes, including stationary ones.
National Natural Science Foundation of China [11622543, 11235010]
; Open Project Program of Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y5KF161CJ1]
Cao, LM,Jiang, XZ,Peng, YX. Tunnelling Phenomenon near an Apparent Horizon in Two-Dimensional Dilaton Gravity[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2017,68(3):323-328.
