Symmetries of Locally Rotationally Symmetric Models

TL;DR

This paper investigates matter collineations in locally rotationally symmetric spacetimes, especially focusing on cases with degenerate energy-momentum tensors, revealing conditions for proper collineations and deriving cosmological models.

Contribution

It identifies conditions under which proper matter collineations occur in degenerate cases and provides explicit solutions for certain cosmological models.

Findings

Degenerate energy-momentum tensors often lead to infinite matter collineations.

Proper matter collineations are found in specific degenerate cases.

Explicit cosmological models are derived from the constraint equations.

Abstract

Matter collineations of locally rotationally symmetric spacetimes are considered. These are investigated when the energy-momentum tensor is degenerate. We know that the degenerate case provides infinite dimensional matter collineations in most of the cases. However, an interesting case arises where we obtain proper matter collineations. We also solve the constraint equations for a particular case to obtain some cosmological models.