Chaos as a Possible Probe for Scalar Hair in Horndeski Gravity

Fuente: arXiv
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Autori principali: Yu, Yang, Chen, Ruo-Ting, Li, Shulan, Zhang, Dan, Wu, Jian-Pin
Natura: Preprint
Pubblicazione: 2026
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author Yu, Yang
Chen, Ruo-Ting
Li, Shulan
Zhang, Dan
Wu, Jian-Pin
author_facet Yu, Yang
Chen, Ruo-Ting
Li, Shulan
Zhang, Dan
Wu, Jian-Pin
contents The detection of black hole scalar hair, a possible deviation from general relativity's "no-hair" theorem, requires sensitive probes beyond conventional methods. This study proposes chaotic dynamics as a novel indicator for scalar hair in Horndeski gravity. We investigate the motion of a spinning test particle in a static, spherically symmetric hairy black hole spacetime. Our results show that increasing scalar hair systematically suppresses orbital chaos, as evidenced by regularized precession, reduced Lyapunov exponents, and contracted Poincare sections. Furthermore, scalar hair enhances the correlation between the two gravitational wave polarization modes, restoring phase coherence. These findings demonstrate that chaotic observables and gravitational wave signatures can jointly serve as sensitive probes for black hole hair, offering a complementary approach to testing gravity in strong-field regimes.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06848
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Chaos as a Possible Probe for Scalar Hair in Horndeski Gravity
Yu, Yang
Chen, Ruo-Ting
Li, Shulan
Zhang, Dan
Wu, Jian-Pin
General Relativity and Quantum Cosmology
The detection of black hole scalar hair, a possible deviation from general relativity's "no-hair" theorem, requires sensitive probes beyond conventional methods. This study proposes chaotic dynamics as a novel indicator for scalar hair in Horndeski gravity. We investigate the motion of a spinning test particle in a static, spherically symmetric hairy black hole spacetime. Our results show that increasing scalar hair systematically suppresses orbital chaos, as evidenced by regularized precession, reduced Lyapunov exponents, and contracted Poincare sections. Furthermore, scalar hair enhances the correlation between the two gravitational wave polarization modes, restoring phase coherence. These findings demonstrate that chaotic observables and gravitational wave signatures can jointly serve as sensitive probes for black hole hair, offering a complementary approach to testing gravity in strong-field regimes.
title Chaos as a Possible Probe for Scalar Hair in Horndeski Gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2602.06848