Thermodynamics of black holes in gravity's rainbow formalisms

Abstract

Several results in the context of quantum gravity and related frameworks suggest the plausibility of modifications to the uncertainty principle and to the energy-momentum dispersion relation of special relativity. One of these frameworks is provided by gravity’s rainbow. We analyze the consequences that such modifications may have for black hole thermodynamics from the perspective of two different gravity’s rainbow formalisms. In this scenario, we show that the temperature of the black hole may vanish in the limit of zero mass under feasible conditions.