How to move a black hole without excision: gauge conditions for the numerical evolution of a moving puncture

TL;DR

This paper explores gauge conditions that enable stable, accurate numerical simulations of moving black holes without excision, advancing the field of numerical relativity.

Contribution

It introduces analytic and numerical methods for choosing gauge conditions that allow black holes to move across computational grids without excision.

Findings

Stable evolution of a moving puncture black hole demonstrated.

Effective gauge choices improve simulation accuracy.

Enables long-term simulations of black hole dynamics.

Abstract

Recent demonstrations of unexcised black holes traversing across computational grids represent a significant advance in numerical relativity. Stable and accurate simulations of multiple orbits, and their radiated waves, result. This capability is critically undergirded by a careful choice of gauge. Here we present analytic considerations which suggest certain gauge choices, and numerically demonstrate their efficacy in evolving a single moving puncture black hole.