Two-dimensional quantum black holes: Numerical methods

TL;DR

This paper introduces a new numerical code for simulating the formation and evaporation of 2D black holes in the CGHS model, emphasizing techniques for accurate late-time behavior analysis.

Contribution

The paper develops a novel numerical scheme with advanced regularization, coordinate compactification, and high-order convergence methods for studying 2D black hole dynamics.

Findings

Effective resolution of late-time spacetime behavior

High-order convergence achieved through Richardson extrapolation

Framework applicable to black hole formation and evaporation studies

Abstract

We present details of a new numerical code designed to study the formation and evaporation of 2-dimensional black holes within the CGHS model. We explain several elements of the scheme that are crucial to resolve the late-time behavior of the spacetime, including regularization of the field variables, compactification of the coordinates, the algebraic form of the discretized equations of motion, and the use of a modified Richardson extrapolation scheme to achieve high-order convergence. Physical interpretation of our results will be discussed in detail elsewhere.