Orbiting Radiation Stars

TL;DR

This paper presents a numerical solution to Einstein's equations for a null-particle compact object that avoids singularities, exhibits a deep gravitational well, and is observationally distinguishable from black holes.

Contribution

It introduces a novel, singularity-free gravitational solution for null-particle objects that differs observationally from black holes.

Findings

Deep gravitational well without singularity

Photon passing through the object with a measurable time delay

Geometrically flat near the origin at any scale

Abstract

We study a numerical solution to Einstein's equation for a compact object composed of null particles. The solution avoids quantum scale regimes and hence neither relies upon nor ignores the interaction of quantum mechanics and gravitation. The solution exhibits a deep gravitational well yet remains singularity free. In fact, the solution is geometrically flat in the vicinity of the origin with the flat region being of any desirable scale. The solution is also observationally distinct from a black hole because a photon from infinity aimed at an object centered on the origin passes through the origin and escapes to infinity with a time delay.