Probing the cosmological viability of non-gaussian statistics
Abstract
Based on the relationship between thermodynamics and gravity we propose, with the aid of Verlinde's formalism, an alternative interpretation of the dynamical evolution of the Friedmann-Robertson-Walker Universe. This description takes into account the entropy and temperature intrinsic to the horizon of the universe due to the information holographically stored there through non-gaussian statistical theories proposed by Tsallis and Kaniadakis. The effect of these non-gaussian statistics in the cosmological context is change the strength of the gravitational constant. In this paper, we consider the CDM model modified by the non-gaussian statistics and investigate the compatibility of these non-gaussian modification with the cosmological observations. In order to analyze in which extend the cosmological data constrain these non-extensive statistics, we use type Ia supernovae, baryon acoustic oscillations, Hubble expansion rate function and the linear growth of matter density perturbations data.
Keywords
Cite
@article{arxiv.1509.05059,
title = {Probing the cosmological viability of non-gaussian statistics},
author = {Rafael C. Nunes and Edésio M. Barboza and Everton M. C. Abreu and Jorge Ananias Neto},
journal= {arXiv preprint arXiv:1509.05059},
year = {2016}
}
Comments
14 pages, 1 figure. arXiv admin note: text overlap with arXiv:1503.05874, arXiv:1403.5706