Scale invariant elastic stars in General Relativity

TL;DR

This paper introduces a model of relativistic elastic stars that are scale-invariant, leading to unique properties such as a linear mass-radius relation and potential black-hole mimicking features.

Contribution

It presents the first known scale-invariant elastic star model in General Relativity with a stable, compact configuration near the Schwarzschild light ring.

Findings

The model exhibits a linear mass-radius relation.

The most compact stable configuration is just below the Schwarzschild light ring radius.

This object could serve as a black-hole mimicker.

Abstract

We present a model of relativistic elastic stars featuring scale invariance. This implies a linear mass-radius relation and the absence of a maximum mass. The most compact spherically symmetric configuration that is radially stable and satisfies all energy and causality conditions has a slightly smaller radius than the Schwarzschild light ring radius. To the best of our knowledge, this is the first material compact object with such remarkable properties in General Relativity, which makes it a unique candidate for a black-hole mimicker.