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In this article, we look into geodesics in the Schwarzschild-Anti-de Sittermetric in (3+1) spacetime dimensions. We investigate the class of marginallybound geodesics (timelike and null), while comparing their behavior with thenormal Schwarzschild metric. Using $\textit{Mathematica}$, we calculate theshear and rotation tensors, along with other components of the Raychaudhuriequation in this metric and we argue that marginally bound timelike geodesics,in the equatorial plane, always have a turning point, while their nullanalogues have at least one family of geodesics that are unbound. We alsopresent associated plots for the geodesics and geodesic congruences, in theequatorial plane.

On Geodesic Congruences and the Raychaudhuri Equations in $\textrm{SAdS}_4$ Spacetime