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Gravitational Wave from Cosmic Inflation in a Gravity with Two Small Four-derivative Corrections

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Abstract

We investigate a model of inflationary cosmology where the minimally coupled scalar field theory is modified by additional correction terms. Among the most general ten correction terms remarked by Weinberg in context of effective field theory, we consider only two terms, f1(ϕ)R2 and f2(ϕ)RabRab, following the work by Noh and Hwang where f1 and f2 are constant. The fourth order differential equations for the background universe and the tensor-type perturbation are derived out of this model. We show that these equations can be reduced to second order equations, supposing that fn are small. From these approximated equations, we find that the propagation speed of gravitational wave is slightly less than the speed of light due to f2 term, and that the evolution of the tensor-type perturbation is conserved in the large scale limit.

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Acknowledgments

The author is grateful to Prof. J. Hwang for his teachings on cosmology and to Prof. S. G. Jo for his thoughtful advice and critical review. The author also thanks Prof. C.-G. Park for his much help in Mathematica usage.

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Authors and Affiliations

  1. Department of Physics, Kyungpook National University, Daegu, 41566, Korea

    Chae-min Yun

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  1. Chae-min Yun
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Correspondence to Chae-min Yun.

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Yun, Cm. Gravitational Wave from Cosmic Inflation in a Gravity with Two Small Four-derivative Corrections. J. Korean Phys. Soc. 76, 292–296 (2020). https://doi.org/10.3938/jkps.76.292

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  • DOI: https://doi.org/10.3938/jkps.76.292

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