Nonextensive statistical effects in protoneutron stars

TL;DR

This paper explores how nonextensive statistical mechanics influences the properties and evolution of protoneutron stars, highlighting the significance of deviations from classical statistics in their structure.

Contribution

It introduces a relativistic mean field model incorporating nonextensive statistics to analyze protoneutron star matter with and without neutrino trapping.

Findings

Nonextensive effects significantly impact the equation of state.

Small deviations from Boltzmann-Gibbs statistics affect star structure.

Nonextensive effects are crucial for star evolution.

Abstract

We investigate the bulk properties of protoneutron stars in the framework of a relativistic mean field theory based on nonextensive statistical mechanics, characterized by power-law quantum distributions. We study the relevance of nonextensive statistical effects on the beta-stable equation of state at fixed entropy per baryon, in presence and in absence of trapped neutrinos, for nucleonic and hyperonic matter. We show that nonextensive statistical effects could play a crucial role in the structure and in the evolution of the protoneutron stars also for small deviations from the standard Boltzmann-Gibbs statistics.