Thermodynamic Stability Versus Chaos Bound Violation in D-dimensional RN Black Holes: Angular Momentum Effects and Phase Transitions

TL;DR

This study explores how angular momentum influences chaos bound violations in D-dimensional RN black holes, revealing a link between thermodynamic stability and the limits of chaotic behavior in particle orbits.

Contribution

It demonstrates that chaos bound violations occur only in thermodynamically stable phases of black holes and connects phase transition points with chaos bound thresholds.

Findings

Chaos bound violation increases with particle angular momentum.

Violations occur only in thermodynamically stable black hole phases.

In 4D, phase transition critical points match chaos bound violation thresholds.

Abstract

We compute the Lyapunov exponents for test particles orbiting in unstable circular trajectories around D-dimensional Reissner-Nordstr\"om (RN) black holes, scrutinizing instances of the chaos bound violation. Notably, we discover that an increase in particle angular momentum exacerbates the breach of the chaos bound. Our research centrally investigates the correlation between black hole thermodynamic phase transitions and the breaking of the chaos limit. Findings suggest that the chaos bound can only be transgressed within thermodynamically stable phases of black holes. Specifically, in the four-dimensional scenario, the critical point of the thermodynamic phase transition aligns with the threshold condition that delineates the onset of chaos bound violation. These outcomes underscore a deep-rooted link between the thermodynamic stability of black holes and the constraints imposed by the chaos bound on particle dynamics.