Numerical calculations near spatial infinity

TL;DR

This paper presents a numerical method using reduced conformal field equations to study the entire Schwarzschild-Kruskal spacetime, including spatial, null, and timelike infinity, in a smooth and unified manner.

Contribution

It introduces a novel numerical approach based on conformal Gauss gauge for analyzing the full spacetime structure near infinity in spherical symmetry.

Findings

Successful numerical calculation of Schwarzschild-Kruskal spacetime including all infinities

Demonstration of smoothness of null infinity in numerical simulations

Method enables detailed study of spacetime near singularities

Abstract

After describing in short some problems and methods regarding the smoothness of null infinity for isolated systems, I present numerical calculations in which both spatial and null infinity can be studied. The reduced conformal field equations based on the conformal Gauss gauge allow us in spherical symmetry to calculate numerically the entire Schwarzschild-Kruskal spacetime in a smooth way including spacelike, null and timelike infinity and the domain close to the singularity.