Construction of chiral cosmological models unifying inflation and primordial black hole formation

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We propose the method for construction of 𝐹(𝑅, 𝜉) gravity model, unifying inflation and primordial black hole formation. The proposed models are based on the Starobinsky + 𝑅2 inflationary model, so, the function 𝐹(𝑅, 𝜉) is a quadratic polynomial of the Ricci scalar 𝑅, is a scalar field. We show that the potential of the corresponding two-field chiral cosmological model in the Einstein frame can be always found in terms of the elementary functions. The special choice of the function 𝐹(𝑅, 𝜉) allows us to get such a generalization of the hybrid inflation that can describe both inflation, and the primordial black hole formation.

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Modified gravity, primordial black holes, inflation

Короткий адрес: https://sciup.org/142241770

IDR: 142241770   |   DOI: 10.17238/issn2226-8812.2024.1.90-94

Список литературы Construction of chiral cosmological models unifying inflation and primordial black hole formation

  • Dolgov A.D. Massive and supermassive black holes in the contemporary and early Universe and problems in cosmology and astrophysics. Phys. Usp., 2018, 61, pp. 115–132.
  • Dolgov A., Silk J. Baryon isocurvature fluctuations at small scales and baryonic dark matter. Phys. Rev. D, 1993, 47, pp. 4244–4255.
  • Ivanov P., Naselsky P., Novikov I. Inflation and primordial black holes as dark matter. Phys. Rev. D, 1994, 50, pp. 7173–7178.
  • Carr B., Kuhnel F. Primordial Black Holes as Dark Matter: Recent Developments. Ann. Rev. Nucl. Part. Sci., 2020, 70, pp. 355–394. [arXiv:2006.02838].
  • Starobinsky A.A. Spectrum of adiabatic perturbations in the universe when there are singularities in the inflation potential. JETP Lett., 1992, 55, pp. 489–494.
  • Garcia-Bellido J., Linde A.D., Wands D. Density perturbations and black hole formation in hybrid inflation. Phys. Rev. D, 1996, 54, pp. 6040–6058. [arXiv:astro-ph/9605094].
  • Ketov S.V. Multi-Field versus Single-Field in the Supergravity Models of Inflation and Primordial Black Holes, Universe, 2021, 7, no. 5, 115.
  • Özsoy O., Tasinato G. Inflation and Primordial Black Holes. Universe, 2023, 9, no. 5, 203. [arXiv:2301.03600].
  • Starobinsky A.A. A New Type of Isotropic Cosmological Models Without Singularity. Phys. Lett. B, 1980, 91, pp. 99–102.
  • Akrami Y., et al. [Planck], Planck 2018 results. X. Constraints on inflation. Astron. Astrophys., 2020, 641, p. A10. [arXiv:1807.06211].
  • Ade P.A.R., et al. [BICEP and Keck], Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season. Phys. Rev. Lett., 2021, 127, pp. 151301. [arXiv:2110.00483].
  • Galloni G., Bartolo N., Matarrese N., Migliaccio N., Ricciardone N., Vittorio N. Updated constraints on amplitude and tilt of the tensor primordial spectrum. JCAP, 2023, 04, p. 062. [arXiv:2208.00188].
  • Pi S., Zhang Y.l., Huang Q.G., Sasaki M. Scalaron from 𝑅2-gravity as a heavy field. JCAP, 2018, 05, p. 042. [arXiv:1712.09896].
  • Gundhi A., Ketov S.V., Steinwachs C.F. Primordial black hole dark matter in dilaton-extended two-field Starobinsky inflation. Phys. Rev. D, 2021, 103, p. 083518. [arXiv:2011.05999].
  • Cheong D.Y., Kohri K., Park S.C. The inflaton that could: primordial black holes and second order gravitational waves from tachyonic instability induced in Higgs–𝑅2 inflation. JCAP, 2022, 10, p. 015. [arXiv:2205.14813].
  • Ivanov V.R., Ketov S.V., Pozdeeva E.O., Vernov S.Yu. Analytic extensions of Starobinsky model of inflation. JCAP, 2022, 03, no.03, p. 058. [arXiv:2111.09058].
  • Pozdeeva E.O., Vernov S.Yu., New one-parametric extension of the Starobinsky inflationary model. Phys. Scripta, 2023, 98, p. 055001. [arXiv:2211.10988].
  • Saburov S., Ketov S.V., Improved Model of Primordial Black Hole Formation after Starobinsky Inflation. Universe, 2023, 9, no. 7, p. 323. [arXiv:2306.06597].
  • Braglia M., Linde A., Kallosh R., Finelli F. Hybrid 𝛼-attractors, primordial black holes and gravitational wave backgrounds. JCAP, 2023, 04, p. 033. [arXiv:2211.14262].
  • Chervon S.V., Fomin I.V., Pozdeeva E.O., Sami M., Vernov S.Yu. Superpotential method for chiral cosmological models connected with modified gravity. Phys. Rev. D, 2019, 100, p. 063522. [arXiv:1904.11264].
  • Linde A.D. Hybrid inflation. Phys. Rev. D, 1994, 49, pp. 748–754. [arXiv:astro-ph/9307002].
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