辐射效率对黑洞质量增长的影响

The Effect of Radiative Efficiency on the Growth of Black Hole Mass

考虑了在黑洞质量增长过程中,辐射效率的变化对黑洞质量增长的影响．随着吸积的进行,黑洞的角动量会发生变化,辐射效率也会随之发生变化,从而影响了质量增长．对于黑洞的指数增长模型,给出了考虑辐射效率对黑洞质量增长影响下的黑洞质量增长方程,用数值方法进行求解,并得到了黑洞质量随时间变化的曲线．与假定辐射效率为常数的模型对比,结果表明辐射效率的变化对黑洞质量的增长有较明显的影响,使黑洞的增长延迟．这个模型可以定量地说明最近的观测结果．

The effect of the variance of radiative efficiency on the growth of black hole mass is discussed. The angular momentum of a black hole changes due to the accretion process, resulting in the variance of radiative efficiency of the black hole. The equation of the black hole growth is worked out and solutions are obtained numerically. The growth rate of black hole mass connected with the radiative efficiency is strongly affected. The results are compared with the model which assumes radiative efficiency to be a constant. The model predicts a delayed growth of the black holes.