Corrected constraints on big bang nucleosynthesis in a modified gravity model of $f(R)\propto R^n$

Abstract

Big bang nucleosynthesis in a modified gravity model of $f(R)\propto R^n$ is investigated. The only free parameter of the model is a power-law index $n$. We find cosmological solutions in a parameter region of $1<n\le (4+\sqrt{6})/5$. We calculate abundances of ${}^4$He, D, ${}^3$He, ${}^7$Li, and ${}^6$Li during big bang nucleosynthesis. We compare the results with the latest observational data. It is then found that the power-law index is constrained to be $(n-1)=(-0.86\pm 1.19)\times 10^{-4}$ (95 % C.L.) mainly from observations of deuterium abundance as well as ${}^4$He abundance.

6 pages, 2 figures, Published by APS at http://journals.aps.org/prd/abstract/10.1103/PhysRevD.91.104023

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