Geodetic Motion Around Rotating Black Hole in Nonlocal Gravity

Abstract

Recently the nonlocal gravity theory has come out to be a good candidate for an effective field theory of quantum gravity and also it can provide rich phenomenology to understand late time accelerating expansion of the universe. For any valid theory of gravity, it has to surmount solar system tests as well as strong field tests. Having motivations to prepare the framework for the strong field test of the modified gravity using Extreme Mass Ratio Inspirals (EMRIs), here we try to obtain the metric for Kerr-like black hole for a nonlocal gravity model known as RR model and calculate the shift in orbital frequencies of a test particle moving around the black hole. We also derive the metric for a rotating object in the weak gravity regime for the same model.