Black hole quasinormal modes, greybody factors and quasi-periodic oscillations in teleparallel Born-Infeld gravity

This paper presents a detailed analysis of several physical aspects, including scalar quasinormal modes (QNMs), greybody factors, and orbital dynamics of black holes in teleparallel Born–Infeld gravity with coupling λ . Employing a sixth–order WKB approximation and Pad–improved methods, we show that finite λ increases the real frequencies Re ( ω ) and damping rates | Im ( ω )|, asymptotically recovering Schwarzschild values as λ → ∞. On the other hand, the inspection of the lower bounds on greybody transmission via the Visser–Boonserm formalism demonstrates enhancement in the high-frequency transparency for larger λ . Furthermore, computed epicyclic and periastron precession frequencies for circular orbits reveal Born–Infeld corrections to orbital motion. These findings furnish templates for gravitational–wave ringdown and X–ray quasi-periodic oscillations (QPOs) observations and suggest potential constraints on λ .

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