Probing the cosmological viability of non-gaussian statistics

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 ho...

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Bibliographic Details
Published inJournal of cosmology and astroparticle physics Vol. 2016; no. 8; p. 51
Main Authors Nunes, Rafael C., Jr, Edésio M. Barboza, Abreu, Everton M.C., Neto, Jorge Ananias
Format Journal Article
LanguageEnglish
Published United States 23.08.2016
Subjects
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
BARYONS
COMPATIBILITY
DENSITY
DISTURBANCES
ENTROPY
EXPANSION
GRAVITATION
MODIFICATIONS
OSCILLATIONS
PERTURBATION THEORY
STATISTICAL MODELS
STATISTICS
THERMODYNAMICS
TYPE I SUPERNOVAE
UNIVERSE
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Summary: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 to change the strength of the gravitational constant. In this paper, we consider the w 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 will use type Ia supernovae, baryon acoustic oscillations, Hubble expansion rate function and the linear growth of matter density perturbations data. We show that Tsallis' statistics is favored at 1σ confidence level.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2016/08/051