Simple excision of a black hole in 3+1 numerical relativity

TL;DR

This paper presents a straightforward method for excising black holes in 3+1 numerical relativity, demonstrating its effectiveness with stable, long-term simulations of a Schwarzschild black hole.

Contribution

It introduces a simple black hole excision technique in 3+1 numerical relativity and applies it to achieve stable, accurate evolutions of a Schwarzschild black hole.

Findings

Achieved long-term stable numerical evolution of a Schwarzschild black hole.

Demonstrated the effectiveness of the excision method in Eddington-Finkelstein coordinates.

Provided a practical implementation for black hole simulations.

Abstract

We describe a simple implementation of black hole excision in 3+1 numerical relativity. We apply this technique to a Schwarzschild black hole with octant symmetry in Eddington-Finkelstein coordinates and show how one can obtain accurate, long-term stable numerical evolutions.