Teleparallel Born-Infeld gravity (TBI) is a modified theory of gravity that aims to maintain second-order field equations, leading to alternative scenarios for strong gravity and cosmological settings. In this study, we examine the impact of TBI gravity on the physical characteristics of thin (Novikov-Thorne) accretion disks, focusing on quantities such as flux, pressure, temperature, etc. We also examine the spectral luminosity, comparing it to disks around the Schwarzschild black holes. By comparing the theoretical predictions to observational data in the low frequency regime, we demonstrate the model’s ability to match real astrophysical systems and distinguish subtle differences between TBI gravity and general relativity, with improved sensitivity. Furthermore, the results suggest that observations of x-ray spectra from the inner disk regions can provide valuable insights into the properties of TBI gravity, potentially offering constraints on this modified gravity theory through future astrophysical observations.

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• General relativity
• Accretion disk & black-hole plasma