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Black hole shadow and chaos bound violation in \(f(T)\) teleparallel gravity. (English) Zbl 1521.83078

Summary: We show that the so-called chaos bound, proposed by Maldacena, Shenker & 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 J. Maldacena et al. [J. High Energy Phys. 2016, No. 8, Paper No. 106, 17 p. (2016; Zbl 1390.81388)] 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.

MSC:

83C57 Black holes
78A45 Diffraction, scattering
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
53B15 Other connections
81V80 Quantum optics
83C35 Gravitational waves
60G35 Signal detection and filtering (aspects of stochastic processes)

Citations:

Zbl 1390.81388

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