Black hole shadow and chaos bound violation in $f(T)$ teleparallel gravity

Abstract

We show that the so-called chaos bound, proposed by Maldacena, Shenker, and Stanford, can be violated in $f(T)$ teleparallel gravity. In particular, it is possible to select a new gravitational Lyapunov parameter, controlling chaotization of circular trajectories, in black hole photo-sphere, that can exceed the Maldacena, Shenker and Stanford thermal bound. This feature alters the standard quasi-normal modes and ringdown phase after black hole merging with intriguing implications for future gravitational wave detections and black hole shadow measurements. It is a general characteristic for several gravitational theories beyond standard General Relativity.

arXiv comment5 pages, 1 figure, accepted for publication in Physics Letters B

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• Near-horizon chaos beyond Einstein gravity
• Bounds for Lyapunov exponent of circular light orbits in black holes
• Modified Kerr black holes surrounded by dark matter spike
• Extended Geometric Trinity of Gravity
• Probing Dark Energy Properties in $fQ,C)$ Gravity with FLRW Cosmological Models
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions