# Upper bound on the gravitational masses of stable spatially regular charged compact objects

## TL;DR

This paper derives a new, tighter upper bound on the mass of stable, charged, horizonless compact objects, improving upon previous bounds by incorporating stability considerations.

## Contribution

It introduces a stronger upper mass bound for stable charged compact objects in the regime where charge-to-mass ratio is below rac{3}{rac{8}}, advancing gravitational mass limit understanding.

## Key findings

- Established a new mass bound for stable objects: M < R/3 + 2Q^2/(3R).
- Improved previous bounds by incorporating stability criteria.
- Applicable in the regime Q/M < rac{3}{rac{8}}.

## Abstract

In a very interesting paper, Andr\'easson has recently proved that the gravitational mass of a spherically symmetric compact object of radius $R$ and electric charge $Q$ is bounded from above by the relation $\sqrt{M}\leq{{\sqrt{R}}\over{3}}+\sqrt{{{R}\over{9}}+{{Q^2}\over{3R}}}$. In the present paper we prove that, in the dimensionless regime ${{Q}/{M}}<\sqrt{{9/8}}$, a stronger upper bound can be derived on the masses of physically realistic ({\it stable}) self-gravitating horizonless compact objects: $M<{{R}\over{3}}+{{2Q^2}\over{3R}}$.