Branes in Gravity's Rainbow
Amani Ashour, Mir Faizal, Ahmed Farag Ali, Fay\c{c}al Hammad

TL;DR
This paper explores black p-brane thermodynamics within Gravity's Rainbow framework, revealing constraints on minimum mass and the potential existence of black brane remnants influenced by different rainbow functions.
Contribution
It introduces a novel analysis of black p-branes in Gravity's Rainbow, showing how specific rainbow functions affect thermodynamics and the possibility of remnants.
Findings
Gravity's Rainbow constrains minimum black p-brane mass.
Black p-brane remnants are suggested by heat capacity analysis.
Different rainbow functions yield varying thermodynamic behaviors.
Abstract
In this work, we investigate the thermodynamics of black -branes (BB) in the context of Gravity's Rainbow. We investigate this using rainbow functions that have been motivated from loop quantum gravity and -Minkowski noncommutative spacetime. Then for the sake of comparison, we examine a couple of other rainbow functions that have also appeared in the literature. We show that, for consistency, Gravity's Rainbow imposes a constraint on the minimum mass of the BB, a constraint that we interpret here as implying the existence of a black -brane remnant. This interpretation is supported by the computation of the black -brane's heat capacity that shows that the latter vanishes when the Schwarzschild radius takes on a value that is bigger than its extremal limit. We found that the same conclusion is reached for the third version of rainbow functions treated here but not with…
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