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

Abstract

In this paper, by utilizing the rainbow functions that were proposed by Amelino-Camelia et al., the information flux of rainbow Schwarzschild black hole and the sparsity of Hawking radiation in rainbow gravity are explored. The results show that the rainbow gravity has a very significant effect on the information flux. When the mass of rainbow Schwarzschild black hole approaches to the order of Planck scale, the Bekenstein entropy loss per emitted quanta in terms of the mass of Schwarzschild 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, the modified sparsity becomes infinity, which indicates the effect of quantum gravity stops Hawking radiation and leads to remnant.

Nonextensive black hole entropy and quantum gravity effects at the last stages of evaporation

“…One of the important features of the Hawking radiation, which differentiates it from the black body radiation, is its extreme sparsity during the black hole evaporation process [39][40][41][42][43][44][45][46][47][48][49]. Sparsity is defined by the average time between emission of successive Hawking quanta over the timescales set by the energies of the emitted quanta.…”

Tunneling of Hawking radiation for BTZ black hole revisited

“…In this region the action ζ is imaginary and we can profitably use the WKB approximation, as a semiclassical way, to estimate the tunneling probability [17,25]. See the works in [31][32][33][34][35][36] where the issue of tunneling probability has also been addressed. Indeed writing for the imaginary part of the action Imζ = Im where H takes the values M and M − Ω corresponding to p r = 0 and p r = p r respectively, we project the integral (2.12) to read…”

Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity

“…On the other hand, black holes and its thermodynamics are one of the most challenging research topics of physics. Some of the recent studies on the field is going on in the framework of RG [46][47][48][49][50][51]. In this work our main motivation is to investigate the Schwarzschild black hole's thermodynamics in the SdS spacetime in the context of the gravity's rainbow to provide a contribution to the field.…”