On M87⁎ and SgrA⁎ observational constraints of Dunkl black holes

Abstract

In this work, we investigate the optical properties of a new black hole being recently obtained from the Dunkl operator formalism involving a relevant parameter denoted by ζ. Concretely, we show that the reflections associated with the Dunkl operators can influence the optical properties of black holes. To do so, 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 ζ via the falsification mechanism.