Constraints on modified Gauss-Bonnet gravity during big bang nucleosynthesis

Abstract

The modified gravity is considered to be one of possible explanations of the accelerated expansions of the present and the early universe. We study effects of the modified gravity on big bang nucleosynthesis (BBN). If effects of the modified gravity are significant during the BBN epoch, they should be observed as changes of primordial light element abundances. We assume a $f(G)$ term with the Gauss-Bonnet term $G$, during the BBN epoch. A power-law relation of $df/dG\propto t^p$ where $t$ is the cosmic time was assumed for the function $f(G)$ as an example case. We solve time evolutions of physical variables during BBN in the $f(G)$ gravity model numerically, and analyzed calculated results. It is found that a proper solution for the cosmic expansion rate can be lost in some parameter region. In addition, we show that calculated results of primordial light element abundances can be significantly different from observational data. Especially, observational limits on primordial D abundance leads to the strongest constraint on the $f(G)$ gravity. We then derive constraints on parameters of the $f(G)$ gravity taking into account the existence of the solution of expansion rate and final light element abundances.

29 pages, 24 figures

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• Construction of cosmologically viable f(G) gravity models
• The Cosmology of Modified Gauss-Bonnet Gravity
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• Unsuccessful cosmology with Modified Gravity Models
• Effects of Long-lived 10 MeV Scale Sterile Neutrino on Primordial Elemental Abundances and Effective Neutrino Number
• Corrected constraints on big bang nucleosynthesis in a modified gravity model of $f(R)\propto R^n$

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• Big Bang Nucleosynthesis constraints on the Energy-Momentum Squared Gravity: The ${\mathbb{T}}^2$ model
• Oscillating cosmic evolution and constraints on big bang nucleosynthesis in the extended Starobinsky model
• An exact solution of the higher-order gravity in standard radiation-dominated era
• Constraining nonminimal f(T) gravity from Primordial Nucleosynthesis to Late-Universe observations
• Big Bang nucleosynthesis and baryogenesis in power-law $f(R)$ gravity: Revised constraints from the semianalytical approach
• Constraining Early Dark Energy cosmological models with Big Bang Nucleosynthesis