Tidal Effect of Modified Schwarzschild Black Hole Under the Influence of Rindler Acceleration and Cosmological Constant

Abstract

We study the effects of tidal force and the behavior of the geodesic deviation vector in the background of a modified Schwarzschild black hole. In this analysis, we obtain the curvature tensor on a tetrad basis to evaluate the radial and angular tidal force on a radially free-falling particle towards a black hole. The radial tidal forces increase with an increase in the Λ (cosmological constant) value but decrease when the value of r increases. The variation of angular tidal force for Lambda shows increasing behavior and gradually decreases to a smooth curve when increasing the radius. We solve the geodesic deviation equation numerically and analyze how the geodesic separation vector varies with radial coordinates for two neighboring geodesics under suitable initial conditions. All the obtained results are tested for a modified Schwarzschild black hole by constraining the value of the acceleration parameter and the cosmological constant. The results are also compared with a simple Schwarzschild black hole.