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arXiv · 2412.09196

On M87$^*$ and SgrA$^*$ Observational Constraints of Dunkl Black Holes

N. Askour·A. Belhaj·L. Chakhchi·H. El Moumni·K. Masmar
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Abstract

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.

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N. Askour, A. Belhaj, L. Chakhchi, H. El Moumni, K. Masmar. 2024-12-12. On M87$^*$ and SgrA$^*$ Observational Constraints of Dunkl Black Holes. https://arxiv.org/abs/2412.09196

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