Tidal effects in 4D-charged Einstein-Gauss-Bonnet gravity black hole

Abstract

Abstract In this paper, we study the geodesic deviation between two nearby geodesics. For this process, we calculated the geodesic equation and radial motion of test particles. Also, the radial and angular tidal forces have been investigated using the curvature tensor in tetrad form. The radial tidal forces in 4D charged Einstein-Gauss-Bonnet gravity black hole show a tidal effect with a small value of radial coordinate r. The angular tidal forces show converse behavior as compared to the radial tidal forces at the short value of radial coordinate r. The radial and angular tidal forces have the same behavior at the immense value of radial coordinate r. The geodesic deviation paths depend on the charge Q parameter and Gauss-Bonnet parameter α of the black hole. We have compared our result with the 4D uncharged Einstein-Gauss-Bonnet gravity black hole and Reissner-Nordström with consideration of two kinds of initial conditions.