Abstract 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.

中文翻译：

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黑洞信息通量和霍金辐射稀疏性的彩虹引力校正

摘要 本文研究了彩虹引力作用下史瓦西黑洞的信息通量和霍金辐射的稀疏性。结果表明，彩虹引力对信息通量有非常显着的影响。当彩虹黑洞的质量接近普朗克量级时，就黑洞质量而言，每个发射量子的 Bekenstein 熵损失减少到零。此外，我们还发现彩虹引力中霍金辐射的稀疏性不再是一个常数；相反，它随着黑洞质量的减少而单调减少。在蒸发的最后阶段，与 GUP 情况相反，修改后的稀疏度变为无穷大，这表明量子引力的作用阻止了霍金辐射并导致残余。