Cosmology in a non-standard statistical background

Abstract

We study the primordial neutron to baryon ratio in a cosmological expanding background within the context of non-extensive statistics, in a fully analytical approach. First order corrections to the weak interaction rates and energy densities in the early universe are obtained and their consequences on the Helium synthesis are analized. We find that, if the nucleosynthesis scenario should be in agreement with observation, this entails a very restrictive bound upon $q$, the non-extensive parameter. We also study some cosmological interesting situations such as the moment of pair annihilation, conserved comoving quantities and derive for the nonextensive statistics, temperature relationships, before and after the removal of pairs.

Two figures. Accepted for publication in Physica A. This overwrites a previous preprint version, new sections added and mistakes corrected

References in corpus (2)

• Big-bang Nucleosynthesis Enters the Precision Era
• Some Bounds upon Nonextensivity Parameter Using the Appropriate Generalized Distribution Functions

Cited by in corpus (7)

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• Statistical mechanics and the description of the early universe I.: Foundations for a slightly non-extensive cosmology
• Quantal distribution functions in non-extensive statistics and an early universe test revisited
• Non-extensivity Effects and the Highest Energy Cosmic Ray Affair
• Precision cosmology as a test for statistics
• Statistical mechanics and the description of the early universe II. Principle of detailed balance and primordial 4He formation
• Thermodynamical Test of Non Extensive Thermostatistics