New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
High Energy Physics - Theory
2015-06-04 v2 Statistical Mechanics
General Relativity and Quantum Cosmology
Abstract
In this paper, we have analyzed the nonextensive Tsallis statistical mechanics in the light of Verlinde's formalism. We have obtained, with the aid of a noncommutative phase-space entropic gravity, a new bound for Tsallis nonextensive (NE) parameter (TNP) that is clearly different from the ones present in the current literature. We derived the Friedmann equations in a NE scenario. We also obtained here a relation between the gravitational constant and the TNP.
Keywords
Cite
@article{arxiv.1204.2005,
title = {New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations},
author = {Everton M. C. Abreu and Jorge Ananias Neto and Albert C. R. Mendes and Wilson Oliveira},
journal= {arXiv preprint arXiv:1204.2005},
year = {2015}
}
Comments
15 pages. Final version to appear in Physica A