Maximum Mass-Radius Ratios for Charged Compact General Relativistic Objects

TL;DR

This paper derives upper bounds on the mass-radius ratio and total charge for stable charged compact objects in general relativity, showing they can exceed the neutral star limit and providing restrictions on redshift and energy.

Contribution

It introduces new upper limits for mass-radius ratios and charge in charged compact objects, extending known bounds for neutral stars.

Findings

Mass-radius ratio can exceed 4/9 for charged objects.

Derived upper limits for total charge and energy.

Provided constraints on redshift for charged compact objects.

Abstract

Upper limits for the mass-radius ratio and total charge are derived for stable charged general relativistic matter distributions. For charged compact objects the mass-radius ratio exceeds the value 4/9 corresponding to neutral stars. General restrictions for the redshift and total energy (including the gravitational contribution) are also obtained.