在一个一般二维的 dilaton 严肃理论基于明显的地平线的定义,我们在明显的地平线附近分析掘的现象。在这个理论,地平线的定义与在高度维的严肃理论的那些很不同。由使用 Hamilton-Jacobi 方法,放射的光谱被获得,放射的温度从这个系列被读出。温度象往常一样与明显的地平线的表面严肃成正比。而且,在静止情况中,我们由使用 Parikh 和 Wilczeks 空测地学的方法和结果计算光谱遵循由使用 Hamilton-Jacobi 方法获得了那。自从 Hamilton-Jacobi 方法适用于通用 spacetimes,这被期望,包括静止的。
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 Harnilton-Jacobi method. This is expected since the flamilton-Jacobi method applies to generic spacetimes, including stationary ones.