Conformal Ricci and Matter Collineations for Two Perfect Fluids

TL;DR

This paper explores conformal Ricci and matter collineations in the context of two perfect fluids in General Relativity, extending previous studies and deriving new results based on the fluids' properties and Einstein's equations.

Contribution

It introduces new conditions for conformal collineations in two-fluid systems and generalizes previous findings in the field.

Findings

Derived conditions for conformal Ricci collineations

Extended previous results on conformal matter collineations

Recovered special cases of earlier studies

Abstract

Conformal Ricci and conformal matter collineations for the combination of two perfect fluids in General Relativity are investigated. We study the existence of timelike and spacelike conformal Ricci and matter collineations by introducing the kinematical and dynamical properties of such fluids and using the Einstein field equations. Some recent studies on conformal collineations are extended and new results are found. It is worth mentioning that we recover all the previous results a special cases.