Abstract We investigate the greybody factor for the accelerating rotating Bañados–Teitelboim–Zanelli (BTZ) black hole in (2+1) -dimensional spacetime. Due to the non-separability of the Klein–Gordon equation induced by the acceleration parameter, we employ an azimuthal-average approximation to derive an effective potential for massless scalar fields. In the low-frequency limit, we solve the radial equation using matched asymptotic expansions near the horizon and in the far region, accounting for rotation via the horizon angular velocity. Our results yield a power-law scaling for the greybody factor, () (- m H) ^2 - 1 Γ (ω) ∝ (ω - m Ω H) 2 λ - 1, where = ² ² + 5/4 λ = μ 2 ℓ 2 + 5 / 4, highlighting deviations from pure blackbody radiation. We discuss implications for Hawking radiation, superradiance in the regime ω m Ω H, and the role of acceleration in modifying black hole thermodynamics.
Ahmed et al. (Tue,) studied this question.