Static spherically symmetric space-time: some remarks

TL;DR

This paper investigates how various matter types influence the structure of spherically symmetric space-times, proposing a method to analyze metric behavior based on the energy-momentum tensor components.

Contribution

It introduces a simplified approach to study metric functions in spherically symmetric space-times with different matter sources using harmonic coordinates.

Findings

Method applicable to various matter configurations

Provides insights into metric behavior from EMT components

Analyzes scalar, electromagnetic, and interacting fields

Abstract

Within the scope of a spherically symmetric space-time we study the role of different types of matter in the formation of different configurations with spherical symmetries. Here we have considered matter with barotropic equation of state, scalar field, electromagnetic field and an interacting system of scalar and electromagnetic field as the source. Corresponding field equations are solved exploiting harmonic coordinates. An easy to handle method is proposed which allows one to have an idea about the possible behavior of the metric functions once the components of the EMT of the source field is known.