Relativistic Spheres

TL;DR

This paper analyzes Einstein's equations for static spheres and finds a non-singular configuration that can have a radius arbitrarily close to its horizon size, challenging traditional notions of singularities.

Contribution

It introduces a new non-singular static sphere solution with a radius approaching the horizon, expanding understanding of relativistic compact objects.

Findings

Existence of non-singular static sphere solutions.

Configurations can approach horizon size arbitrarily closely.

Challenges traditional singularity assumptions in relativistic spheres.

Abstract

By analyzing the Einstein's equations for the static sphere, we find that there exists a non-singular static configuration whose radius can approach its corresponding horizon size arbitrarily.