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

The effect of variation of radiative efficiency on the growth of the black hole mass is discussed. In the process of accretion, the black holeʹs angular momentum varies, resulting in a variation of the radiative efficiency, and the growth of the black hole mass is thereby affected. For the exponential growth model of back holes and taking into account the effect of a varying radiative efficiency, the equation for the growth of the black hole mass is solved numerically. Compared to the model that assumes a constant radiative efficiency, the result indicates that variation of radiative efficiency has a marked, retarding effect on the growth of the black hole mass. This model can explain quantitatively some recent observational results.