Eur. Phys. J. A (2015) 51: 155
https://doi.org/10.1140/epja/i2015-15155-3

Regular Article - Theoretical Physics

Non-extensive thermodynamics and neutron star properties

¹ Departamento de Física - CFM -, Universidade Federal de Santa Catarina, CEP 88.040-900, Florianópolis, Brazil
² Instituto de Física, Universidade de São Paulo, Rua do Matão Travessa R Nr.187, CEP 05508-090 Cidade Universitária, São Paulo, Brazil
³ Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, D-80805, Munich, Germany
⁴ Grup de Física Teòrica and IFAE, Departament de Fısica, Universitat Autònoma de Barcelona, E-08193, Barcelona, Spain
⁵ Departamento de Física, Universidade Federal do Maranhão, Campus Universitário do Bacanga, CEP 65080-805, São Luís, Brazil

^* e-mail: debora.p.m@ufsc.br

Received: 25 July 2015
Accepted: 10 November 2015
Published online: 3 December 2015

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.