On M87\(^\) and SgrA\(^\) Observational Constraints of Dunkl Black Holes

In this work, we investigate the optical properties of a new black hole recently obtained from the Dunkl operator formalism involving a relevant parameter denoted by \(\xi\). Concretely, we first investigate the shadows, the Lyapunov exponents of unstable nearly bound orbits and the spherically infa...

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Bibliographic Details
Published in:arXiv.org 2024-12
Main Authors: Askour, N, Belhaj, A, Chakhchi, L, H El Moumni, Masmar, K
Format: Article
Language:English
Subjects:
Constraints
Elliptical galaxies
Liapunov exponents
Optical properties
Parameters
Online Access:Get full text
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Summary:In this work, we investigate the optical properties of a new black hole recently obtained from the Dunkl operator formalism involving a relevant parameter denoted by \(\xi\). Concretely, we first investigate the shadows, the Lyapunov exponents of unstable nearly bound orbits and the spherically infalling accretion behaviors in terms of such a parameter. Then, we examine the effect of this parameter on the Dunkl black hole deflection angle in vacuum and medium backgrounds by manipulating the Gauss-Bonnet theorem. Exploiting the M87\(^*\) and SgrA\(^*\) optical bonds, we provide strong constraints on \(\xi\) via the falsification mechanism.
ISSN:2331-8422