@@ Drawbacks of the ingoing Eddington-Finkelstein coordinates in describing the quantum thermal properties of the evaporating Vaidya black hole are presented. A new coordinate system we proposed previously [Acta Phys.Sin. 46 (1997) 1273] is employed. In this new coordinate system, the thermal radiation temperature of the Vaidya black hole is discussed again with the back reaction method.
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