Weyl Projective Curvature Symmetry in FRW k=0 Model

TL;DR

This paper investigates the conditions under which flat Friedmann-Robertson-Walker (FRW) spacetimes admit special symmetries related to Weyl projective curvature, using matrix rank analysis and direct integration methods.

Contribution

It identifies a specific class of flat FRW spacetimes that admit proper Weyl projective curvature collineations, expanding understanding of spacetime symmetries.

Findings

Certain flat FRW models admit proper Weyl projective curvature collineations.

The study employs matrix rank analysis and direct integration techniques.

A very special class of FRW k=0 models is characterized by these symmetries.

Abstract

A study of proper Weyl projective curvature collineations in FRW k=0 space-time is given using the rank of Weyl projective curvature matrix and direct integration techniques. It is shown that a very special class of the above space-time admits proper Weyl projective curvature collineation.