On the Physical Properties of Spherically Symmetric Self-Similar Solutions

TL;DR

This paper investigates the physical and kinematic properties of self-similar solutions of the first kind, analyzing singularities and features in different coordinate systems to enhance understanding of their behavior.

Contribution

It provides a detailed analysis of the properties and singularities of self-similar solutions in both co-moving and non co-moving coordinates, highlighting new features.

Findings

Identification of key kinematic properties

Analysis of singularities in different coordinates

Discovery of interesting features of solutions

Abstract

In this paper, we are exploring some of the properties of the self-similar solutions of the first kind. In particular, we shall discuss the kinematic properties and also check the singularities of these solutions. We discuss these properties both in co-moving and also in non co-moving (only in the radial direction) coordinates. Some interesting features of these solutions turn up.