Probing quantum anomaly corrections on black hole physics through chaos

TL;DR

This paper investigates how quantum conformal anomaly corrections influence chaos in particle motion around black holes, suggesting potential observational signatures in gravitational wave signals.

Contribution

It introduces the effect of quantum anomaly corrections on black hole chaos and demonstrates their role in enhancing chaotic particle dynamics.

Findings

Quantum anomaly generally increases chaos in particle motion.

Chaos probes show that anomaly coefficient affects chaos intensity.

Results suggest possible observational detection via gravitational waves.

Abstract

The black hole horizon can induce chaotic motion of particles around the black hole. The original integrable motion of particles can transit to the chaotic motion when approaching black hole horizon. In this work, we consider the black hole background where quantum conformal anomaly correction is taken into account. We use Poincare section and Lyapunov exponent as representative probes to illustrate chaos. We investigate the effect of anomaly coefficient on the chaos of particles and for both probes, we find that quantum anomaly generally enhances the chaos of particle motions. As the chaotic orbits of particles can leave an imprint on the gravitational wave signals of the extreme mass ratio inspirals, our results pave the way to detect conformal anomaly effect in actual observations.