Using entropy density near event horizon of the accelerating non-stationary black hole, the instantaneous radiant emittance is calculated, and we arrive at the conclusion that the instantaneous radiant emittance of black hole in a direction at any time is always proportional to the quartic power of temperature of the event horizon of black hole in that direction. It is found that the generalized Stefan-Boltzmann coefficient is no longer a constant, but a coefficient dynamically related to the rate of change of event horizon, the structure of space-time near event horizon and the radiation absorption coefficient of the black hole. It shows that an intrinsic relation between the gravitational field around the black hole and its thermal radiation must exist.
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