Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and Dark Matter Freeze-out

Abstract

We consider Tsallis cosmology as an approach to thermodynamic gravity and derive the bound on the Tsallis parameter to be $\beta <2$ by using the constraints derived from the formation of the primordial light elements, Helium, Deuterium and Litium, from the observational data from Big Bang Nucleosynthesis (BBN) which allows only a very tiny deviation from General Relativity (GR). Next we consider thermal dark matter (DM) freeze-out mechanism in Tsallis cosmological era and derive bounds on the Tsallis parameter from the observed DM relic abundance to be $1-\beta <10^{-5}$.

arXiv comment10 pages, 3 figures

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• Observational constraints of the modified cosmology through Barrow entropy
• Observational constraints on Tsallis modified gravity
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Constraints on Rényi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis