Kappa - Poincare dispersion relations and the black hole radiation

TL;DR

This paper investigates how quantum kappa-Poincare algebra influences Hawking radiation, analyzing non-local field equations and deriving a conserved inner product to determine the black hole radiation spectrum.

Contribution

It introduces a novel analysis of Hawking radiation with dispersion relations from quantum kappa-Poincare algebra, including mode counting and spectrum calculation methods.

Findings

Derived the conserved inner product for non-local field equations

Analyzed effects of sub- and superluminal propagation on radiation spectrum

Provided a framework for studying black hole radiation with quantum algebra-based dispersion relations

Abstract

Following the methods developed by Corley and Jacobson, we consider qualitatively the issue of Hawking radiation in the case when the dispersion relation is dictated by quantum kappa-Poincare algebra. This relation corresponds to field equations that are non-local in time, and, depending on the sign of the parameter kappa, to sub- or superluminal signal propagation. We also derive the conserved inner product, that can be used to count modes, and therefore to obtain the spectrum of black hole radiation in this case.