Geometric Hawking radiation with a SBH with a novel quantum algebra

MAURICIO BELLINI; JUAN IGNACIO MUSMARRA; DANIELA MAGOS CORTES

Trieste

Workshop; Career development workshop on women in physics; 2023

Ambus Salam International Centre for Theoretical Physics (ICTP)

In this work, we study the Hawking radiation [1, 2] in the vicinity of a BH froma geometric perspective, by using an extension of the Riemann manifold, withboundary terms included, to address the geometric fluctuations produced by suchradiation. Since the nature of this radiation is quantum, we will need to extend theformalism introduced in [3, 4, 5] to calculate the fluctuations of the metric tensorand the Ricci tensor. The exterior of a SBH is initially empty, so, the surroundingmetric is well-modeled by the Schwarzschild metric, however, when a particle iscreated by the Hawking mechanism, the outer metric will be influenced by themass of that particle, in a such manner that the metric tensor will be altered by$b \delta g_{\alpha\beta}$.