# Evolutions of Nearly Maximally Spinning Black Hole Binaries Using the Moving Puncture Approach

## TL;DR

This paper demonstrates that moving puncture numerical relativity codes can successfully evolve nearly maximally spinning black hole binaries, producing highly accurate waveforms with overlaps exceeding 0.999 compared to established simulations.

## Contribution

It introduces a new evolution of nearly maximally spinning black hole binaries using the moving puncture approach with improved data and gauge conditions, achieving highly accurate waveforms.

## Key findings

- Waveform overlap exceeds 0.999 with previous results
- Successful evolution of black hole binaries with spin chi=0.99
- Use of HiSpID data and modified lapse enhances stability

## Abstract

We demonstrate that numerical relativity codes based on the moving punctures formalism are capable of evolving nearly maximally spinning black hole binaries. We compare a new evolution of an equal-mass, aligned-spin binary with dimensionless spin chi=0.99 using puncture-based data with recent simulations of the SXS Collaboration. We find that the overlap of our new waveform with the published results of the SXS Collaboration is larger than 0.999. To generate our new waveform, we use the recently introduced HiSpID puncture data, the CCZ4 evolution system, and a modified lapse condition that helps keep the horizon radii reasonably large.