This paper has been withdrawn by the authors. Quantum radiative characteristics of 4D semi-classical nonstationary black holes in the general case are investigated by using the method of generalized tortoise coordinate transformation. It is generally shown that the temperature and the shape of the event horizon of this kind of black holes depend on both the time and different angles. Further, we discover that there is a certain relationship that is ignored before between thermal radiation and non-thermal radiation of black holes, which is that the chemical potential in thermal radiation spectrum is equal to the highest energy of the negative energy state of particles in non-thermal radiation for 4D semi-classical nonstationary black holes. Also, we show that the deduced general results can be applied to different concrete conditions.
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