Rainbow gravity corrections to the information flux of a black hole and the sparsity of Hawking radiation

In this paper, we investigated the information flux of Schwarzschild black hole and the sparsity of Hawking radiation in the presence of rainbow gravity. The results demonstrate that the rainbow gravity has a very significant effect on the information flux. When the mass of rainbow black hole approaches to the order of Planck scale, the Bekenstein entropy loss per emitted quanta in terms of the mass of black hole reduces to zero. Furthermore, we also find the sparsity of Hawking radiation in rainbow gravity is no longer a constant; instead, it monotonically decreases as the mass of black hole decrease. At the final stages of evaporation, contrary to those of GUP case, the modified sparsity becomes infinity, which indicates the effect of quantum gravity stops Hawking radiation and leads to remnant.