Rotating and twisting locally rotationally symmetric imperfect fluids

TL;DR

This paper explores a broader class of solutions for rotating and twisting locally rotationally symmetric imperfect fluids in general relativity, providing explicit metrics and discussing self-similar cases.

Contribution

It introduces new solutions beyond previously suggested self-similar models, expanding the understanding of such fluids in general relativity.

Findings

Explicit metrics for rotating and twisting fluids are derived.

Self-similar sub-cases are identified and analyzed.

The solution set is larger than previously recognized.

Abstract

Rotating and twisting locally rotationally symmetric imperfect fluids in general relativity admit a much larger set of solutions than the self-similar ones recently suggested in the literature. Explicit forms of the metrics are given and the self-similar sub-cases are discussed.