On some properties of M-projective curvature tensor in spacetime of general relativity

TL;DR

This paper explores properties of the M-projective curvature tensor in general relativity, examining its divergence, related symmetries, and conditions for spacetime collineations, contributing to the understanding of spacetime geometry.

Contribution

It introduces the concept of M-projective collineation and derives conditions for its existence in general relativity spacetimes, linking curvature tensors and symmetries.

Findings

Derived divergence of M-projective curvature tensor

Established conditions for M-projective collineations

Linked tensor properties to spacetime symmetries

Abstract

In this paper, we investigate the connection between the M-projective curvature tensor and other tensors. Also, we obtain the divergence of M-projective curvature tensor. A symmetry of spacetime known as M-projective collineation has been presented, and it has been possible to determine the conditions under which the general relativity spacetimes can admit such collineations.