Curvature properties of Kantowski-Sachs metric

Abstract In this paper we have investigated the curvature restricted geometric properties of the generalized Kantowski-Sachs (briefly, GK-S) spacetime metric, a warped product of 2-dimensional base and 2-dimensional fibre. It is proved that GK-S metric describes a generalized Roter type, 2-quasi Einstein and E i n ( 3 ) manifold. It also has pseudosymmetric Weyl conformal tensor as well as conharmonic tensor and its conformal 2-forms are recurrent. Further, it realizes the curvature condition R ⋅ R = Q ( S , R ) + L ( t , θ ) Q ( g , C ) (see, Theorem 4.1 ). We have also determined the curvature properties of Kantowski-Sachs (briefly, K-S), Bianchi type-III and Bianchi type-I metrics which are the special cases of GK-S spacetime metric. The sufficient condition under which GK-S metric represents a perfect fluid spacetime has also been obtained.