On the stability of compact supermassive objects

TL;DR

This paper investigates the stability of supermassive compact objects composed of degenerated Fermi-gas, demonstrating that certain configurations are stable without forming an event horizon, using methods from stellar structure theory.

Contribution

It introduces a stability analysis for supermassive degenerated Fermi-gas objects based on modified gravitation equations, showing stability for specific equations of state.

Findings

Configurations with adiabatic index 4/3 are stable.

Supermassive objects can exist without event horizons.

Stability is analyzed using stellar structure methods.

Abstract

Proceeded from the gravitation equations proposed by one of authors it was argued in a previous paper that there can exist supermassive compact configurations of degenerated Fermi-gas without events horizon. In the present paper we consider the stability of these objects by method like the one used in the theory of stellar structure. It is shown that the configurations with an adiabatic equation of state with the power 4/3 are stable.