Eur. Phys. J. A (2011) 47: 52
https://doi.org/10.1140/epja/i2011-11052-1

Regular Article - Theoretical Physics

Nonextensive statistical effects in protoneutron stars

¹ Dipartimento di Fisica, Politecnico di Torino, I-10129, Torino, Italy
² Sezione di Torino, Istituto Nazionale di Fisica Nucleare (INFN), I-10126, Torino, Italy

^* e-mail: andrea.lavagno@polito.it

Received: 20 January 2011
Accepted: 16 March 2011
Published online: 21 April 2011

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 -stable equation of state at fixed entropy per baryon, in the presence and in the 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.