Conformal Collineations and Ricci Inheritance Symmetry in String Cloud and String Fluids

TL;DR

This paper explores the mathematical symmetries of string cloud and string fluid models in general relativity, focusing on conformal collineations and Ricci inheritance collineations, and derives new restrictions and properties of these models.

Contribution

It extends previous studies by analyzing the effects of these symmetries on string fluids and deriving new constraints from the field equations.

Findings

New restrictions on string cloud and string fluids due to conformal symmetries

Extended understanding of the kinematical and dynamical properties of these fluids

Mathematical relations between symmetries and physical properties in general relativity

Abstract

Conformal collineations (a generalization of conformal motion) and Ricci inheritance collineations, defined by $\pounds_\xi R_{ab}=2\alpha R_{ab}$, for string cloud and string fluids in general relativity are studied. By investigating the kinematical and dynamical properties of such fluids and using the field equations, some recent studies on the restrictions imposed by conformal collineations are extended, and new results are found.