Hawking radiation and entropy correction of a black hole

Generalizing the method proposed by Damour-Ruffini for discussing the Hawking radiation of a black hole, under the condition that conversation of energy and the self-gravitation effects are considered, we obtain the radiation spectrum of the black hole. Our result is consistent with the result given by Parikh and Wilczek. It satisfies the unitary principle in quantum mechanics. The coefficient of the logarithmic term in correction to the Bekenstein-Hawking entropy of the black hole is derived