Constraints on modified Gauss-Bonnet gravity during big bang nucleosynthesis

Motohiko Kusakabe, Seoktae Koh, K. S. Kim, and Myung-Ki Cheoun
Phys. Rev. D 93, 043511 – Published 9 February 2016

Abstract

Modified gravity is considered to be one of the possible explanations of the accelerated expansions of the present and the early universe. We study the effects of modified gravity on big bang nucleosynthesis (BBN). If the effects of 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/dGtp 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 we analyzed the 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 the 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.

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  • Received 9 November 2015

DOI:https://doi.org/10.1103/PhysRevD.93.043511

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Motohiko Kusakabe1,2,*, Seoktae Koh3, K. S. Kim1, and Myung-Ki Cheoun2

  • 1School of Liberal Arts and Science, Korea Aerospace University, Goyang 412-791, Korea
  • 2Department of Physics, Soongsil University, Seoul 156-743, Korea
  • 3Department of Science Education, Jeju National University, Jeju 690-756, Korea

  • *Present address: Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USA. mkusakab@nd.edu

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Vol. 93, Iss. 4 — 15 February 2016

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