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Reconstruction of extended inflationary potentials for attractors

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Abstract.

We give the procedure to reconstruct the extended inflationary potentials for attractors and use the \( \alpha\) attractor and the constant-roll model as examples to show how to reconstruct the class of extended inflationary potentials in the strong-coupling limit. We also derive the strong-coupling condition which the coupling constant \( \xi\) satisfies. The class of extended inflationary potentials has the same attractor, and the reconstructed extended inflationary potentials are consistent with the observational constraints. The existence of the attractors from extended inflationary models further challenges the model discrimination just by the observables ns and r .

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Authors and Affiliations

  1. School of Physical Science and Technology, Southwest University, 400715, Chongqing, China

    Qing Gao

  2. School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China

    Yungui Gong

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  1. Qing Gao
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  2. Yungui Gong
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Correspondence to Yungui Gong.

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Gao, Q., Gong, Y. Reconstruction of extended inflationary potentials for attractors. Eur. Phys. J. Plus 133, 491 (2018). https://doi.org/10.1140/epjp/i2018-12324-3

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