Generalized non-minimal derivative coupling: application to inflation and primordial black hole production

Dalianis, Ioannis; Karydas, Stelios; Papantonopoulos, Eleftherios

doi:10.1088/1475-7516/2020/06/040

Cited by 60 publications

(56 citation statements)

References 82 publications

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“…It is worth noting that an analogous investigation has been done by Fu et al [51] and Dalianis et al [53]. In [51] for the chosen parameter the influence of the temporary nonminimal derivative coupling framework far from the peak position (φ = φ c ) is faded away and the standard slow-roll inflation is recovered.…”

Section: Introductionmentioning

confidence: 54%

“…One of the proper ways to achieve a rise in the scalar power spectrum is a brief period of ultra slow-roll (USR) inflation due to declining the speed of inflaton field via gravitationally enhanced friction. The framework of nonminimal derivative coupling to gravity (NMDC) beside the fine-tuning of the parameters of the model can give rise to increase friction gravitationally [50][51][52][53][54][55][56][57][58][59].…”

Section: Introductionmentioning

confidence: 99%

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Primordial black holes in nonminimal derivative coupling inflation with quartic potential and reheating consideration

Heydari

Karami

2022

Eur. Phys. J. C

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We investigate the generation of primordial black holes (PBHs) with the aid of gravitationally increased friction mechanism originated from the nonminimal field derivative coupling (NMDC) to gravity framework, with the quartic potential. Applying the coupling parameter as a two-parted function of inflaton field and fine-tuning of five parameter assortments we can acquire ultra slow-roll phase to slow down the inflaton field due to high friction. This enables us to achieve enough enhancement in the amplitude of curvature perturbations power spectra to generate PBHs with different masses. The reheating stage is considered to obtain criteria for PBHs generation during radiation dominated era. We demonstrate that three cases of asteroid mass PBHs ($$10^{-12}M_{\odot }$$ 10 - 12 M ⊙ , $$10^{-13}M_{\odot }$$ 10 - 13 M ⊙ , and $$10^{-15}M_{\odot })$$ 10 - 15 M ⊙ ) can be very interesting candidates for comprising $$100\%$$ 100 % , $$98.3\%$$ 98.3 % and $$99.1\%$$ 99.1 % of the total dark matter (DM) content of the universe. Moreover, we analyse the production of induced Gravitational Waves (GWs), and illustrate that their spectra of current density parameter $$({\Omega _{{\mathrm{GW}}_\mathrm{0}}})$$ ( Ω GW 0 ) for all parameter Cases foretold by our model have climaxes which cut the sensitivity curves of GWs detectors, ergo the veracity of our outcomes can be tested in light of these detectors. At last, our numerical results exhibit that the spectra of $${\Omega _{{\mathrm{GW}}_\mathrm{0}}}$$ Ω GW 0 behave as a power-law function with respect to frequency, $${\Omega _{{\mathrm{GW}}_\mathrm{0}}} (f) \sim (f/f_c)^{n} $$ Ω GW 0 ( f ) ∼ ( f / f c ) n , in the vicinity of climaxes. Also, in the infrared regime $$f\ll f_{c}$$ f ≪ f c , the power index satisfies the relation $$n=3-2/\ln (f_c/f)$$ n = 3 - 2 / ln ( f c / f ) .

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Section: Introductionmentioning

confidence: 54%

Section: Introductionmentioning

confidence: 99%

Primordial black holes in nonminimal derivative coupling inflation with quartic potential and reheating consideration

Heydari

Karami

2022

Eur. Phys. J. C

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“…In the single field inflationary set up, this can be achieved if there is a near-inflection point about a local plateau for the inflationary potential [32,33]. Another suggestion is an enhanced friction [34] for the inflaton field [35,36]. Hence, let us discuss P R (k) peaks generated the α-attactors and Horndeski general non-minimal derivative coupling (GNMDC) inflation introduced in Refs.…”

Section: Inflationary Model Buildingmentioning

confidence: 99%

“…Hence, let us discuss P R (k) peaks generated the α-attactors and Horndeski general non-minimal derivative coupling (GNMDC) inflation introduced in Refs. [37] and [36] respectively. From the structural side the two inflationary models [36,37] have a non-canonical kinetic term,…”

Section: Inflationary Model Buildingmentioning

confidence: 99%

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Primordial black holes and remnants of primordial black holes as dark matter: inflationary model building and observational constraints

Dalianis¹

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

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Stability of black holes with non-minimally coupled scalar hair to the Einstein tensor

et al. 2022

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General relativity admits a plethora of exact compact object solutions. The augmentation of Einstein’s action with non-minimal coupling terms leads to modified theories with rich structure, which, in turn, provide non-trivial solutions with intriguing phenomenology. Thus, assessing their viability under generic fluctuations is of utmost importance for gravity theories. We consider static and spherically-symmetric solutions of a Horndeski subclass which includes a massless scalar field non-minimally coupled to the Einstein tensor. Such theory possesses second-order field equations and admits an exact black hole solution with scalar hair. Here, we study the stability of such solution under axial gravitational perturbations and find that it is linearly stable. The qualitative features of the ringdown waveform depend solely on the ratio of the two available parameters of spacetime, namely the black hole mass m and the non-minimal coupling strength $$\ell _\eta $$ ℓ η . Finally, we demonstrate the gravitational-wave ringdown transitions between three distinct patterns as the ratio $$m/\ell _\eta $$ m / ℓ η increases; a state which is dominated by photon-sphere excitations and maintains a typical quasinormal ringdown, an intermediate long-lived state which exhibits gravitational-wave echoes and, finally, a state where the ringdown and echoes are depleted rapidly to turn to an exponential tail.

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Generalized non-minimal derivative coupling: application to inflation and primordial black hole production

Cited by 60 publications

References 82 publications

Primordial black holes in nonminimal derivative coupling inflation with quartic potential and reheating consideration

Primordial black holes in nonminimal derivative coupling inflation with quartic potential and reheating consideration

Primordial black holes and remnants of primordial black holes as dark matter: inflationary model building and observational constraints

Stability of black holes with non-minimally coupled scalar hair to the Einstein tensor

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