标题： 黑洞（量子）蒸发与能量守恒 显示英文标题

标题： Evaporation of (quantum) black holes and energy conservation

摘要： 我们考虑霍金辐射是由于黑洞中的隧穿过程，其中考虑了来自量子爱因斯坦引力的量子修正。 后续推导满足守恒定律，导致与精确热谱的偏差。 非热辐射被证明能够将信息带出黑洞。 在适当的近似下，为黑洞分配了一个量子修正后的温度。 在考虑能量守恒以及后向散射辐射的全部影响之后，描述了黑洞蒸发过程中的演化。 结果表明，当达到约普朗克质量的数量级时，蒸发过程突然减缓，而黑洞质量则衰减至这一临界质量。 显示英文摘要

摘要： We consider Hawking radiation as due to a tunneling process in a black hole were quantum corrections, derived from Quantum Einstein Gravity, are taken into account. The consequent derivation, satisfying conservation laws, leads to a deviation from an exact thermal spectrum. The non-thermal radiation is shown to carry information out of the black hole. Under the appropriate approximation, a quantum corrected temperature is assigned to the black hole. The evolution of the quantum black hole as it evaporates is then described by taking into account the full implications of energy conservation as well as the back-scattered radiation. It is shown that, as a critical mass of the order of Planck's mass is reached, the evaporation process decelerates abruptly while the black hole mass decays towards this critical mass.