On the superstring-inspired quantum correction to the Starobinsky model of inflation

Ketov, Sergei V.; Pozdeeva, Ekaterina; Vernov, S. Yu.

doi:10.1088/1475-7516/2022/12/032

Cited by 20 publications

(13 citation statements)

References 56 publications

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“…As was demonstrated in Refs. [21,22,23], the leading superstring-inspired quantum correction should be quartic in R, while it eliminates the infinite plateau in the Starobinsky potential and, hence, restricts the maximal number of e-folds. In order to be consistent with CMB measurements, the value of the δ-coefficient should be small enough, for instance, |δ| < 3.9 × 10 −6 according to Ref.…”

Section: The New Modelmentioning

confidence: 99%

“…In order to be consistent with CMB measurements, the value of the δ-coefficient should be small enough, for instance, |δ| < 3.9 × 10 −6 according to Ref. [21].…”

Section: The New Modelmentioning

confidence: 99%

“…It was assumed in Ref. [21] that the coefficient in front of the R 4 term is positive, which led to the inflaton scalar potential going down and hilltop inflation. In this paper, this coefficient is taken to be negative (−δ < 0), which leads to the potential going up before inflation, see the next Section.…”

Section: The New Modelmentioning

confidence: 99%

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Formation of primordial black holes after Starobinsky inflation

2022

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In this paper, we adapted the Appleby–Battye–Starobinsky model of [Formula: see text] gravity towards describing double cosmological inflation and formation of primordial black holes with masses up to [Formula: see text] g in the single-field model. We found that it is possible to get an enhancement of the power spectrum of scalar curvature perturbations to the level beyond the Hawking (black hole evaporation) limit of [Formula: see text] g, so that the primordial black holes resulting from gravitational collapse of those large primordial perturbations can survive in the present universe and form part of cold dark matter. Our results agree with the current measurements of cosmic microwave background radiation within [Formula: see text] but require fine-tuning of the parameters.

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Section: The New Modelmentioning

confidence: 99%

“…In order to be consistent with CMB measurements, the value of the δ-coefficient should be small enough, for instance, |δ| < 3.9 × 10 −6 according to Ref. [21].…”

Section: The New Modelmentioning

confidence: 99%

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Formation of primordial black holes after Starobinsky inflation

2022

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“…It is convenient to rewrite the MS equation in terms of the e-folds variable N , see e.g., Refs. [49,50]. Here we use the MS equation in the form…”

Section: Appendix: Mukhanov-sasaki Equationmentioning

confidence: 99%

Primordial black holes from Volkov-Akulov-Starobinsky supergravity

Aldabergenov¹,

Ketov²

2023

Preprint

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We study the formation of primordial black holes (PBH) in the Starobinsky supergravity coupled to the nilpotent superfield describing Volkov-Akulov goldstino. By using the no-scale Kähler potential and a polynomial superpotential, we find that under certain conditions our model can describe effectively single-field inflation with the ultra-slow-roll phase that appears near a critical (near-inflection) point of the scalar potential. This can lead to the formation of PBH as part of (or whole) dark matter, while keeping the inflationary spectral tilt and the tensor-to-scalar ratio in good agreement with the current cosmic microwave background (CMB) bounds. After inflation, supersymmetry is spontaneously broken at the inflationary scale with the vanishing cosmological constant.

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“…There are two main ways to generalize the Starobinsky model without adding a scalar fields or other matter. One can either add string theory inspired terms [35][36][37][38][39][40][41][42][43][44] or construct new F(R) gravity inflationary models, connected to the Starobinsky model [12-18, 20-22, 26-29, 31]. Also, it is possible to combine these two ways, obtaining F(R) models related to fundamental theories of gravity.…”

Section: Introductionmentioning

confidence: 99%

New one-parametric extension of the Starobinsky inflationary model

Pozdeeva¹,

Vernov²

2023

Phys. Scr.

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We propose a one-parametric extension of the Starobinsky $R+R^2$ model by adding the $\left(R+m^2\beta^2\right)^{3/2}$ term. The parameter $m$ is the inflaton mass, which is determined in the same way as in the Starobinsky model, and $\beta$ is a dimensionless constant. Using the Einstein frame and the scalar field potential, we get the inflationary parameters of the model proposed. The value of the tensor-to-scalar ratio $r$ can be significantly larger than in the Starobinsky model. The considered inflationary model is in a good agreement with the current observational data. The corresponding scalar field potential is a polynomial of the exponential function.

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On the superstring-inspired quantum correction to the Starobinsky model of inflation

Cited by 20 publications

References 56 publications

Formation of primordial black holes after Starobinsky inflation

Formation of primordial black holes after Starobinsky inflation

Primordial black holes from Volkov-Akulov-Starobinsky supergravity

New one-parametric extension of the Starobinsky inflationary model

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