Proper Curvature Collineations in Static Lemaitre- Tolman-Bondi Symmetric Spacetime

Abstract

We considered the most general form of static Lemaitre- Tolman-Bondi (LTB) symmetric spacetimes for studying proper curvature collineations (CCs) by using the rank of the 66 Riemann matrix and direct integration technique. Studying proper (CCs) in all the cases of the above spacetime, it is shown that when the above spacetimes admit proper curvature collineations, they form an infinite dimensional vector space.