Accretion disk dynamics in Teleparallel Born-Infeld gravity

Abstract: 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. The analysis indicates that smaller values of $\lambda$ lead to more noticeable effects in the inner disk regions. By comparing the theoretical predictions to observational data in the low-frequency regime, we demonstrate ability of the model to align with real astrophysical systems and distinguish subtle differences between TBI gravity and general relativity. 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.