Curvature, Ricci and Matter collineations in Reboucas spacetime

Abstract

The Reboucas spacetime is considered to study curvature, Ricci and Matter collineations. The curvature collineations are investigated by using the rank of the 6×6 Riemann matrix where as Ricci and Matter collineations are discussed by vanishing Lie derivative of Ricci and energy momentum tensors respectively. Studying all these collineations in the above space time, it has been shown that Ricci collineations coincides with matter collineations. Further it has also been observed that curvature and Ricci collineations of the above spacetime form an infinite dimensional vector space.