Cracking in charged relativistic spheres

TL;DR

This paper investigates how density fluctuations influence the stability of charged relativistic spheres, revealing that both isotropic and anisotropic models can experience cracking due to these fluctuations.

Contribution

It extends the concept of cracking to charged matter configurations in General Relativity, considering barotropic equations of state and a mass-charge relation.

Findings

Density fluctuations can cause cracking in both isotropic and anisotropic charged models.

Charged matter configurations are sensitive to density and charge density gradients.

Cracking phenomena are not limited to anisotropic models, also affecting isotropic charged spheres.

Abstract

Using the concept of cracking, we have explored the influence of density fluctuations on isotropic and anisotropic charged matter configurations in General Relativity with "barotropic" equations of state, $P = P(\rho)$ and $P_{\perp}= P_{\perp}(\rho)$ and a mass-charge relation $Q=Q(\rho)$. We have refined the idea that density fluctuations affect physical variables and their gradients, i.e. the radial pressure and charge density gradients. It is found that not only anisotropic charged models could present cracking (or overturning), but also isotropic charged matter configurations could be affected by density fluctuations.