Unveilling Chaos in Particle Motion: Analyzing the Impact of Horizon in $f(R)$ Gravity - INSPIRE

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Unveilling Chaos in Particle Motion: Analyzing the Impact of Horizon in $f(R)$ Gravity

Dec 1, 2023

30 pages

e-Print:

2312.00449 [gr-qc]

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Abstract: (arXiv)

This article is devoted to investigate the effects of

f(R)

theory in the dynamics of a massless particle near the horizon of a static spherically symmetric (SSS) black hole. Deriving the equations of motion within

f(R)

gravitational theories, novel solutions for charged and neutral black holes are obtained, introducing a dimensional parameter

a

in

f(R)=R-2a\sqrt{R}

. Departing from General Relativity, these solutions showcase unique properties reliant on the dynamics of Ricci scalar. Analysis shows that chaos manifests within a specific energy range, with

a

playing a crucial role. The study underscores the general applicability of the spherically symmetric metric, revealing insights into particle dynamics near black hole horizons. Despite an initially integrable nature, the introduction of harmonic perturbation leads to chaos, aligning with the Kolmogorov-Arnold-Moser theory. This research contributes to a nuanced understanding of black hole dynamics, emphasizing the importance of alternative theories of gravity.

Note:

30 pages, 26 figures

symmetry: rotation
black hole: horizon
particle: massless
scalar: Ricci
chaos
gravitation: f(R)
perturbation
general relativity
field equations: solution
integrability

References(96)

Figures(26)

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