Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity

Zhang, Fengge; Lin, Jiong; Lu, Yizhou

doi:10.1103/physrevd.104.063515

Cited by 54 publications

(51 citation statements)

References 123 publications

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“…Some inflationary models, such as canonical single field inflationary model with an inflection point [32][33][34][35] or a step-like feature [36] in potential can realize seven order of magnitude enhancement of power spectrum. Besides, the single field model with a non-canonical kinetic term containing a peak coupling function is also an efficient way to amplify the power spectrum [37][38][39][40][41][42][43]. And recently, inflation driven by two-field to produce PBHs and SIGWs is very appealing [44][45][46][47][48][49][50].…”

Section: Introductionmentioning

confidence: 99%

“…Usually, the Gaussian statistic of perturbation is assumed when computing the abundance of PBHs. However, if non-Gaussianity parameter f NL O(0.01), even an unobservable non-Gaussianity could result in a large correction to Gaussian predicted PBH abundance [43].…”

Section: Introductionmentioning

confidence: 99%

“…Several canonical single field inflation models with the potential containing an inflection point that serves the formation of abundant PBHs have been re-analyzed [51], it was found that the effect of non-Gaussianity of primordial curvature perturbations on PBH abundance is non-negligible in these models. Some minimal or nonminimal coupling between gravity and inflaton inflationary models with a noncanonical kinetic term also produce non-Gaussianity that has a significant effect on PBH abundance [41,43]. In fact, these inflationary models are equivalent to canonical inflation models with an inflection point in potential by conformal transformation and field redefinition [43].…”

Section: Introductionmentioning

confidence: 99%

“…Some minimal or nonminimal coupling between gravity and inflaton inflationary models with a noncanonical kinetic term also produce non-Gaussianity that has a significant effect on PBH abundance [41,43]. In fact, these inflationary models are equivalent to canonical inflation models with an inflection point in potential by conformal transformation and field redefinition [43]. Pedagogically, it is worth studying the inflationary model that is different from the inflection mechanism and further discussing the effect from non-Gaussianity.…”

Section: Introductionmentioning

confidence: 99%

“…[60], the authors use natural potential to drive inflation with the Gauss-Bonnet term and calculate the PBH abundance with Gaussian approximation. As mentioned above, the PBH abundance is much sensitive to non-Gaussianity [43], it is interesting to compute the non-Gaussianity from Gauss-Bonnet inflation and discuss its contribution to PBH abundance and SIGWs.…”

Section: Introductionmentioning

confidence: 99%

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Primordial black holes and scalar induced gravitational waves from the $E$ model with a Gauss-Bonnet term

Zhang

2021

Preprint

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Inspired by the possibility that the important role from higher-order curvature correction of gravity is non-negligible during the early universe, we consider E-model inflation with a coupling between inflaton and the Gauss-Bonnet term. With the help of the Gauss-Bonnet term, the Emodel potential with different indexes can drive inflation and enhance the amplitude of the power spectrum of curvature perturbations to O(10 −2 ) at peak scales, which is large enough to produce a significant abundance of primordial black holes and observational scalar induced gravitational waves. With different parameters, the produced primordial black holes can explain the LIGO-Virgo events, the ultrashort-timescale microlensing events in the OGLE data, or consist of almost all the dark matter. The produced scalar induced gravitational waves can be detected by space-based gravitational wave observatories, like LISA, TianQin, and Pulsar Timing Array. Especially, our model also produces scalar induced gravitational waves that can explain the recent NANOGrav signal. We also compute the non-Gaussianity of this model and discuss its impacts on primordial black holes and scalar induced gravitational waves furthermore. The formation of PBHs is easier taking into account of non-Gaussianity, on the contrary, the energy density of scalar induced gravitational waves is almost unaffected by non-Gaussianity.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Primordial black holes and scalar induced gravitational waves from the $E$ model with a Gauss-Bonnet term

Zhang

2021

Preprint

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f(R)$f(R)$‐Gravity Generated Post‐Inflationary Eras and Their Effect on Primordial Gravitational Waves

Oikonomou

2022

Annalen der Physik

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In this work the effects of a geometrically generated post-inflationary era on the energy spectrum of the primordial gravitational waves are considered. Specifically, a post-inflationary constant equation of state era, generated by the synergistic effect of f (R) gravity and of radiation and matter perfect fluids shall be considered. Two cases of interest shall be studied, one with equation of state parameter w = −1∕3, in which case the Universe neither accelerates nor decelerates, and one with w = 0 so an early matter domination era. For the evaluation of the inflationary observational indices which is relevant for the calculation of the gravitational waves energy spectrum, the effects of the constant equation of state parameter era, on the e-foldings number is also taken into account. In both the w = −1∕3 and w = 0 cases, the energy spectrum of the primordial gravitational waves is amplified, but for the w = 0 case, the effect is stronger.

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Amplification of Primordial Gravitational Waves by a Geometrically Driven non‐canonical Reheating Era

Odintsov

Oikonomou

2022

Fortschritte der Physik

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In order to describe inflation in general relativity, scalar fields must inevitably be used, with all the setbacks of that description. On the other hand, ffalse(Rfalse)$f(R)$ gravity and other modified gravity theories seem to provide a unified description of early and late‐time dynamics without resorting to scalar or phantom theories. The question is, can modified gravity affect directly the mysterious radiation domination era? Addressing this question is the focus in this work, and we shall consider the case for which in the early stages of the radiation domination era, namely during the reheating era, the background equation of state parameter is different from w=1/3$w=1/3$. As we show, in the context of ffalse(Rfalse)$f(R)$ gravity, an abnormal reheating era can affect the primordial gravitational wave energy spectrum today. Since future interferometers will exactly probe this era, which consists of subhorizon modes that reentered the horizon during the early stages of the radiation domination era, the focus in this work is how a short abnormal reheating era that deviates from the standard perfect fluid pattern with w≠1/3$w\ne 1/3$, and generated by higher order curvature terms, can affect the primordial gravitational wave energy spectrum. Using a WKB approach, we calculate the effect of an ffalse(Rfalse)$f(R)$ gravity generated abnormal reheating era, and as we show the primordial gravitational wave spectrum is significantly amplified, a result which is in contrast to the general relativistic case, where the effect is minor.

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Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity

Cited by 54 publications

References 123 publications

Primordial black holes and scalar induced gravitational waves from the $E$ model with a Gauss-Bonnet term

Primordial black holes and scalar induced gravitational waves from the $E$ model with a Gauss-Bonnet term

f(R)$f(R)$‐Gravity Generated Post‐Inflationary Eras and Their Effect on Primordial Gravitational Waves

Amplification of Primordial Gravitational Waves by a Geometrically Driven non‐canonical Reheating Era

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