Abstract
This article deals with the investigation of geometric properties in terms of curvatures of Lemaitre-Tolman-Bondi (briefly, LTB) spacetime (Lemaitre 1933; Tolman 1934; Bondi 1947), an inhomogeneous cosmological model of the universe. It is shown that LTB spacetime is an Einstein manifold of level 3, 2-quasi Einstein and generalized Roter type manifold. Also, several curvature conditions of Deszcz pseudosymmetric type are fulfilled by this spacetime. Without considering the mass function we deduce the conditions for which such metric describes a perfect fluid spacetime and a dust solution respectively. The stress energy tensor is Riemann compatible and Weyl compatible as well. As a special case, the curvature properties of Robertson Walker spacetime are obtained and a worthy comparison of geometric properties in terms of curvatures of LTB spacetime and Robertson Walker spacetime is drawn.