New Coordinate Systems for Axisymmetric Black Hole Collisions

TL;DR

This paper introduces new coordinate systems tailored for simulating binary black hole collisions, aiming to improve stability and flexibility over traditional methods.

Contribution

The authors develop a novel numerical grid generation method for orthogonal coordinates specifically adapted to binary black hole spacetimes, enhancing simulation capabilities.

Findings

New coordinate systems are constructed and described.

Potential for improved stability in black hole collision simulations.

Provides an alternative to conventional ded coordinates.

Abstract

We describe a numerical grid generating procedure to construct new classes of orthogonal coordinate systems that are specially adapted to binary black hole spacetimes. The new coordinates offer an alternative approach to the conventional \v{C}ade\v{z} coordinates, in addition to providing a potentially more stable and flexible platform to extend previous calculations of binary black hole collisions.