Corrected Equipartition of Energy of Black Holes in the Generalized Uncertainty Principle Framework

摘要

The corrected equipartition of energy for the thermal radiation of black holes is studied through using generalized uncertainty principle and the ensemble theory, and to extend the theory of phase space in the canonical ensemble into the curved space-time, the Painlevé coordinates is introduced. It is found that, there are two items in the corrected expression of the internal energy. The leading item is precisely satisfied the equipartition of energy of the system. The corrected item is inversely proportional to the temperature. Its coefficient is related to the position parameter in the generalized uncertainty principle which is of order of the Plank length.