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Special power-law inflation in the Einstein-Gauss-Bonnet gravity

Abstract

In this work, we investigate especial slow-roll regime inflation with a Gauss-Bonnet term inspired by string theory with an arbitrary potential and an arbitrary nonminimal coupling to the Gauss-Bonnet term. We have proposed a single field model which the coupling function \(\xi (\phi )\) to the Gauss-Bonnet scalar satisfies \(\xi (\phi )\sim \frac{1}{V(\phi )}\). There is a key point in these proposed functions. We have limited ourselves to decimal powers in these functions which give us this chance to have two different free parameters as (n, m). (The two different parameters in the potential and coupling functions.) The cosmological observable values \((n_{s}, r)\) from this model that we have proposed, unbelievably coincide with the \(n_{s}-r\) plane favored by the Planck 2018 data.

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Notes

  1. 1.

    The universe in the early stages of its evolution has been gone under an exponential expansion (inflation) in an unstable vacuum-like state. At the end of this expansion, the energy of the unstable vacuum transmutes into the energy of hot dense matter, and the evolution of the universe is described by the standard model of hot big-bang cosmology.

  2. 2.

    The initial universe is assumed to be homogeneous, yet it consists of at least \(\sim 10^{83}\) separate regions which are causally disconnected.

  3. 3.

    The energy density \(\rho \) of the universe today is near the critical value \(\rho _{cr}\).

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Correspondence to Younes Younesizadeh.

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Younesizadeh, Y., Younesizadeh, F. Special power-law inflation in the Einstein-Gauss-Bonnet gravity. Astrophys Space Sci 366, 96 (2021). https://doi.org/10.1007/s10509-021-04001-w

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Keywords

  • Inflation
  • Gauss-Bonnet
  • Single field model
  • Cosmological observable
  • Planck 2018 data