Non extensive thermodynamics and neutron star properties

TL;DR

This paper explores how non-extensive statistics influence the equations of state for stellar matter, affecting neutron star properties such as maximum mass, temperature, and cooling rates, with implications for astrophysical modeling.

Contribution

It introduces the application of non-extensive thermodynamics to neutron star equations of state, analyzing effects on stellar evolution and microscopic processes.

Findings

Slight modifications to equations of state with non-extensive statistics.

Higher maximum masses for neutron stars with increased q-values.

Altered temperature profiles and cooling rates due to non-extensive effects.

Abstract

In the present work we apply non extensive statistics to obtain equations of state suitable to describe stellar matter and verify its effects on microscopic and macroscopic quantities. Two snapshots of the star evolution are considered and the direct Urca process is investigated with two different parameter sets. $q$-values are chosen as 1.05 and 1.14. The equations of state are only slightly modified, but the effects are enough to produce stars with slightly higher maximum masses. The onsets of the constituents are more strongly affected and the internal stellar temperature decreases with the increase of the $q$-value, with consequences on the strangeness and cooling rates of the stars.