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Hawking effect from the Kinnersley spacetime is investigated using theimproved Damour-Ruffini method with a new coordinate transformation. Hawkingtemperature of the horizons can be obtained point by point. It is found thatHawking temperatures of different points on the horizons are different.Especially, Hawking temperature of Rindler horizon is investigated. The touchbetween a Kinnersley black hole and its Rindler horizon is considered, and itshows that the phenomenon is related to the third law of thermodynamics.

Tortoise coordinate and Hawking effect in the Kinnersley spacetime