# Scalar collapse in AdS with an OpenCL open source code

## TL;DR

This paper introduces an open-source OpenCL code to simulate scalar field collapse in AdS spacetime, exploring stability near quasiperiodic solutions and contributing to understanding turbulent instability leading to black hole formation.

## Contribution

The authors developed a novel, open-source, heterogeneous architecture-compatible code for simulating scalar collapse in AdS, enabling detailed stability analysis of quasiperiodic solutions.

## Key findings

- Some evidence for stability near quasiperiodic solutions
- Code successfully parallelizes over heterogeneous architectures
- Provides insights into turbulent instability mechanisms

## Abstract

We study the spherically symmetric collapse of a scalar field in anti-de Sitter spacetime using a newly constructed, open-source code which parallelizes over heterogeneous architectures using the open standard OpenCL. An open question for this scenario concerns how to tell, a priori, whether some form of initial data will be stable or will instead develop under the turbulent instability into a black hole in the limit of vanishing amplitude. Previous work suggested the existence of islands of stability around quasiperiodic solutions, and we use this new code to examine the stability properties of approximately quasiperiodic solutions which balance energy transfer to higher modes with energy transfer to lower modes. The evolutions provide some evidence, though not conclusively, for stability of initial data sufficiently close to quasiperiodic solutions.