2019
DOI: 10.1088/1475-7516/2019/12/031
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Constraints on primordial curvature perturbations from primordial black hole dark matter and secondary gravitational waves

Abstract: Primordial black holes and secondary gravitational waves can be used to probe the small scale physics at very early time. For secondary gravitational waves produced after the horizon reentry, we derive an analytical formula for the time integral of the source and analytical behavior of the time dependence of the energy density of induced gravitational waves is obtained. By proposing a piecewise power law parametrization for the power spectrum of primordial curvature perturbations, we use the observational cons… Show more

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Cited by 82 publications
(65 citation statements)
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“…A plethora of single field inflationary models have been constructed [7] and new models continue to be proposed. For example, the recently proposed constant roll inflation [8][9][10][11][12][13] may be used to generate large density perturbation at small scales to seed the formation of primordial black holes [14][15][16][17][18]. The constraints n s = 0.965 ± 0.004 (68% C.L.)…”
Section: Introductionmentioning
confidence: 99%
“…A plethora of single field inflationary models have been constructed [7] and new models continue to be proposed. For example, the recently proposed constant roll inflation [8][9][10][11][12][13] may be used to generate large density perturbation at small scales to seed the formation of primordial black holes [14][15][16][17][18]. The constraints n s = 0.965 ± 0.004 (68% C.L.)…”
Section: Introductionmentioning
confidence: 99%
“…8, we show the GW spectra of the benchmarks given in Table I, for the GW scenario. The sensitivity curves for TianQin and LISA [66,67] are plotted as the boundaries of the shaded regions. Only the spectra of two limiting benchmarks lie below the sensitivity curves.…”
Section: B Prospects Of the Gw Signalmentioning
confidence: 99%
“…From Equation (33), we see that to be consistent with the observations n s < 1, we must take α < 0 because H > 0, so the constant-roll inflation with η H 3 may be consistent with the observations. Equations (29) and (32) show that the amplitudes of the power spectra for both the slow-roll and ultra-slow-roll inflation have the same form. From Equations (30) and (33), we see that the power spectra for both the slow-roll and ultra-slow-roll inflation are nearly scale invariant.…”
Section: The Duality Between the Slow-roll And The Ultra Slow-roll Inmentioning
confidence: 99%
“…The difference in H may cause different amplitudes for the power spectra or different energy scale of inflation. Furthermore, due to the smallness of H in the ultra-slow-roll inflation, it can be used to generate a large curvature perturbation at small scales, which produces primordial black holes and secondary gravitational waves [26][27][28][29]. For more discussion on the constant-roll inflation, see, e.g., in [30][31][32][33][34][35][36][37][38][39][40][41][42].…”
Section: Introductionmentioning
confidence: 99%