Tilted Cylindrically Symmetric Self-Similar Solutions

TL;DR

This paper explores new tilted self-similar solutions in cylindrically symmetric spacetimes, classifying solutions for perfect fluids and dust under various equations of state, and relates them to existing solutions.

Contribution

It introduces five new independent tilted self-similar solutions in cylindrical symmetry for different fluid types and equations of state, expanding the known solution space.

Findings

Five new solutions identified

Solutions cover various self-similarity kinds

Connections to existing literature established

Abstract

This paper is devoted to explore tilted kinematic self-similar solutions of the the general cylindrical symmetric spacetimes. These solutions are of the first, zeroth, second and infinite kinds for the perfect fluid and dust cases. Three different equations of state are used to obtain these solutions. We obtain a total of five independent solutions. The correspondence of these solutions with those already available in the literature is also given.