Finite-mass correction to 2D Black-hole evaporation rate

TL;DR

This paper numerically investigates finite-mass effects on the evaporation rate of 2D dilatonic black holes, confirming first-order corrections and suggesting higher-order terms may vanish, refining our understanding of black hole evaporation.

Contribution

It provides the first numerical confirmation of the first-order correction and insights into higher-order terms in the black hole evaporation rate within the CGHS model.

Findings

Confirmed the $rac{1}{M}$ correction prediction.

Suggested the $rac{1}{M^{2}}$ correction vanishes.

Estimated the third-order correction term.

Abstract

We numerically analyze the evolution of a two-dimensional dilatonic black hole, within the CGHS model. We focus our attention on the finite-mass corrections to the universal evaporation rate which applies at the large-mass limit. Our numerical results confirm a previous theoretical prediction for the first-order ($\propto 1/M$) correction. In addition, our results strongly suggest that the next-order ($\propto 1/M^{2}$) term vanishes, and provide a rough estimate for the third-order term.