Self-similarity in static axially symmetric relativistic fluids

TL;DR

This paper explores the role of conformal symmetries in static, axially symmetric relativistic fluids, analyzing their physical implications, inheritance properties, and presenting various solution families.

Contribution

It provides a comprehensive analysis of conformal Killing vectors in static axially symmetric fluids and introduces new solution families with such symmetries.

Findings

Identification of physical relevance of CKV in these fluids

Analysis of symmetry inheritance properties

Presentation of new solution families with CKV

Abstract

We carry on a general study on axially symmetric, static fluids admitting a conformal Killing vector (CKV). The physical relevance of this kind of symmetry is emphasized. Next, we investigate all possible consequences derived from the imposition of such a symmetry. Special attention is paid to the problem of symmetry inheritance. Several families of solutions endowed with a CKV are exhibited.