Chaos Bound and its violation in Black p-brane

TL;DR

This paper investigates chaos in black p-branes, revealing violations of the MSS bound near horizons for particles and strings, indicating complex chaotic dynamics in these gravitational backgrounds.

Contribution

It demonstrates the violation of the MSS chaos bound in extremal black p-branes using both particle and string probes, extending previous numerical findings.

Findings

Chaos observed near the horizon in extremal p-branes

Violations of the MSS bound in extremal cases

No violations in non-extremal p-branes

Abstract

In this work, we have extensively investigated the dynamics of circular geodesic (chargeless massive particle) followed by the investigation of the pulsating classical string in the p-brane background. This study is a continuation of our previous work JHEP10(2023)189, in which we numerically identified the presence of chaos for a classical string hovering near generic p-branes ($p < 7$). Here, for a particle probe, we have found evidence of chaos in the vicinity of the horizon. Furthermore, we observed a violation of the well-known MSS bound in specific extremal p-branes; however, no such violation is seen in the non-extremal cases. Similar observations were made for the classical string, where the violation of the bound is significant near the horizon. Thus, our semi-analytical arguments demonstrate that chaotic dynamics in black p-branes exhibit the (generalized) universal bound with notable violations, regardless of whether a particle or classical string is used as a probe.