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Improved model of primordial black hole formation after Starobinsky inflation (2306.06597v2)
Published 11 Jun 2023 in gr-qc, astro-ph.CO, and hep-th
Abstract: A new (improved) model of inflation and primordial black hole (PBH) formation is proposed by combining Starobinsky model of inflation, Appleby-Battye-Starobinsky (ABS) model of dark energy and a quantum correction in the modified $F(R)$ gravity. The energy scale parameter in the ABS model is taken to be close to the inflationary scale, in order to describe double inflation instead of dark energy. The quantum correction is given by the term quartic in the spacetime scalar curvature $R$ with a negative coefficient $(-\delta)$ in the $F(R)$ function. It is demonstrated that very good agreement (within $1\sigma$) with current measurements of the cosmic microwave background (CMB) radiation can be achieved by choosing the proper value of $\delta$, thus solving the problem of low values of the tilt of CMB scalar perturbations in the earlier proposed model in arXiv:2205.00603. A large (by the factor of $107$ against CMB) enhancement in the power spectrum of scalar perturbations is achieved by fine-tuning the parameters of the model. It is found by numerical analysis that it can lead to formation of asteroid-size PBH with the masses up to $10{20}$ g, which may form dark matter in the current universe.
- A. H. Guth, “The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems,” Phys. Rev. D 23 (1981) 347–356.
- A. D. Linde, “A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems,” Phys. Lett. B 108 (1982) 389–393.
- Planck Collaboration, Y. Akrami et al., “Planck 2018 results. X. Constraints on inflation,” Astron. Astrophys. 641 (2020) A10, arXiv:1807.06211 [astro-ph.CO].
- BICEP, Keck Collaboration, P. A. R. Ade et al., “Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season,” Phys. Rev. Lett. 127 no. 15, (2021) 151301, arXiv:2110.00483 [astro-ph.CO].
- M. Tristram et al., “Improved limits on the tensor-to-scalar ratio using BICEP and Planck data,” Phys. Rev. D 105 no. 8, (2022) 083524, arXiv:2112.07961 [astro-ph.CO].
- A. A. Starobinsky, “A new type of isotropic cosmological models without singularity,” Phys. Lett. B 91 no. 1, (1980) 99 – 102.
- I. Novikov and Y. Zeldovic, “Cosmology,” Ann. Rev. Astron. Astrophys. 5 (1967) 627–649.
- S. Hawking, “Gravitationally collapsed objects of very low mass,” Mon. Not. Roy. Astron. Soc. 152 (1971) 75.
- J. D. Barrow, E. J. Copeland, and A. R. Liddle, “The Cosmology of black hole relics,” Phys. Rev. D 46 (1992) 645–657.
- P. Ivanov, P. Naselsky, and I. Novikov, “Inflation and primordial black holes as dark matter,” Phys. Rev. D 50 (1994) 7173–7178.
- B. Carr, K. Kohri, Y. Sendouda, and J. Yokoyama, “Constraints on primordial black holes,” Rept. Prog. Phys. 84 no. 11, (2021) 116902, arXiv:2002.12778 [astro-ph.CO].
- A. Escrivà, F. Kuhnel, and Y. Tada, “Primordial Black Holes,” arXiv:2211.05767 [astro-ph.CO].
- S. V. Ketov and A. A. Starobinsky, “Inflation and non-minimal scalar-curvature coupling in gravity and supergravity,” JCAP 08 (2012) 022, arXiv:1203.0805 [hep-th].
- S. V. Ketov, “Multi-Field versus Single-Field in the Supergravity Models of Inflation and Primordial Black Holes,” Universe 7 no. 5, (2021) 115.
- S. Ketov, “On the large-field equivalence between Starobinsky and Higgs inflation in gravity and supergravity,” PoS DISCRETE2020-2021 (2022) 014.
- K.-i. Maeda, “Towards the Einstein-Hilbert Action via Conformal Transformation,” Phys. Rev. D 39 (1989) 3159.
- V. R. Ivanov, S. V. Ketov, E. O. Pozdeeva, and S. Y. Vernov, “Analytic extensions of Starobinsky model of inflation,” JCAP 03 no. 03, (2022) 058, arXiv:2111.09058 [gr-qc].
- J. Garcia-Bellido and E. Ruiz Morales, “Primordial black holes from single field models of inflation,” Phys. Dark Univ. 18 (2017) 47–54, arXiv:1702.03901 [astro-ph.CO].
- D. Frolovsky, S. V. Ketov, and S. Saburov, “Formation of primordial black holes after Starobinsky inflation,” Mod. Phys. Lett. A 37 no. 21, (2022) 2250135, arXiv:2205.00603 [astro-ph.CO].
- S. A. Appleby, R. A. Battye, and A. A. Starobinsky, “Curing singularities in cosmological evolution of F(R) gravity,” JCAP 06 (2010) 005, arXiv:0909.1737 [astro-ph.CO].
- S. V. Ketov, E. O. Pozdeeva, and S. Y. Vernov, “On the superstring-inspired quantum correction to the Starobinsky model of inflation,” JCAP 12 (2022) 032, arXiv:2211.01546 [gr-qc].
- V. Ivanov, S. Ketov, E. Pozdeeva, and S. Vernov, “On Extensions of the Starobinsky Model of Inflation,” Phys. Sci. Forum 7 no. 1, (2023) 6.
- E. Pozdeeva, S. Ketov, and S. Vernov, “String-Inspired Correction to R2superscript𝑅2R^{2}italic_R start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT Inflation,” Phys. Sci. Forum 7 no. 1, (2023) 2.
- D. Frolovsky and S. V. Ketov, “Inflationary E-models revisited,” arXiv:2304.12558 [astro-ph.CO].
- S. Aoki, R. Ishikawa, and S. V. Ketov, “Pole inflation and primordial black holes formation in Starobinsky-like supergravity,” Class. Quant. Grav. 40 no. 6, (2023) 065002, arXiv:2210.10348 [hep-th].
- C. Germani and T. Prokopec, “On primordial black holes from an inflection point,” Phys. Dark Univ. 18 (2017) 6–10, arXiv:1706.04226 [astro-ph.CO].
- K. Dimopoulos, “Ultra slow-roll inflation demystified,” Phys. Lett. B 775 (2017) 262–265, arXiv:1707.05644 [hep-ph].
- V. F. Mukhanov, “Gravitational Instability of the Universe Filled with a Scalar Field,” JETP Lett. 41 (1985) 493–496.
- M. Sasaki, “Large Scale Quantum Fluctuations in the Inflationary Universe,” Prog. Theor. Phys. 76 (1986) 1036.
- A. Karam, N. Koivunen, E. Tomberg, V. Vaskonen, and H. Veermäe, “Anatomy of single-field inflationary models for primordial black holes,” JCAP 03 (2023) 013, arXiv:2205.13540 [astro-ph.CO].
- S. Pi, Y.-l. Zhang, Q.-G. Huang, and M. Sasaki, “Scalaron from R2superscript𝑅2R^{2}italic_R start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT-gravity as a heavy field,” JCAP 05 (2018) 042, arXiv:1712.09896 [astro-ph.CO].
- T. Papanikolaou, C. Tzerefos, S. Basilakos, and E. N. Saridakis, “Scalar induced gravitational waves from primordial black hole Poisson fluctuations in f(R) gravity,” JCAP 10 (2022) 013, arXiv:2112.15059 [astro-ph.CO].
- P. S. Cole, A. D. Gow, C. T. Byrnes, and S. P. Patil, “Primordial black holes from single-field inflation: a fine-tuning audit,” arXiv:2304.01997 [astro-ph.CO].
- J. Kristiano and J. Yokoyama, “Ruling Out Primordial Black Hole Formation From Single-Field Inflation,” arXiv:2211.03395 [hep-th].
- J. Kristiano and J. Yokoyama, “Response to criticism on ”Ruling Out Primordial Black Hole Formation From Single-Field Inflation”: A note on bispectrum and one-loop correction in single-field inflation with primordial black hole formation,” arXiv:2303.00341 [hep-th].
- S. Choudhury, S. Panda, and M. Sami, “Quantum loop effects on the power spectrum and constraints on primordial black holes,” arXiv:2303.06066 [astro-ph.CO].
- A. Riotto, “The Primordial Black Hole Formation from Single-Field Inflation is Not Ruled Out,” arXiv:2301.00599 [astro-ph.CO].
- A. Riotto, “The Primordial Black Hole Formation from Single-Field Inflation is Still Not Ruled Out,” arXiv:2303.01727 [astro-ph.CO].
- H. Firouzjahi and A. Riotto, “Primordial Black Holes and Loops in Single-Field Inflation,” arXiv:2304.07801 [astro-ph.CO].
- G. Franciolini, A. Iovino, Junior., M. Taoso, and A. Urbano, “One loop to rule them all: Perturbativity in the presence of ultra slow-roll dynamics,” arXiv:2305.03491 [astro-ph.CO].
- J. Fumagalli, “Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics,” arXiv:2305.19263 [astro-ph.CO].
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