Radiation of quantum black holes and modified uncertainty relation

Abstract

In this paper, using a deformed algebra [Formula: see text] which is originated from various theories of gravity, we study thermodynamical properties of quantum black holes (BHs) in canonical ensembles. We exactly calculate the modified internal energy, entropy and heat capacity. Moreover, we investigate a tunneling mechanism of massless particle in phase space. In this regard, the tunneling radiation of BH receives new corrections and the exact radiant spectrum is no longer precisely thermal. In addition, we show that our results are compatible with other quantum gravity (QG) approaches.

Polymer deformation and particle tunneling from Schwarzschild black hole

“…This means that these probabilities are actually correlated. One may compare the above mentioned correlation function with the similar expressions obtained in [4] and [19,21] with using of other phenomenological approaches to quantum gravity. In each case the correlation is appeared due to incorporation of the characteristic parameter (λ in our case) of the relevant theory.…”

“…where ∆S is related to the change of Bekenstein Hawking entropy before and after emission [19,21,22,23,24]. In the string theory, it is expected that the the emission rates from excited D-branes on the Planck scales is related to differences between the counting of microstates in the canonical and microcanonical ensembles.…”