Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations

Kohri, Kazunori; Terada, Takahiro

doi:10.48550/arxiv.1804.08577

Cited by 37 publications

(77 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…See also Refs. [123][124][125][126][127]. It is due to the fact that the scalar mode and the tensor mode couple to each other at the second order in perturbations.…”

Section: Detectability Of Induced Gravitational Wavesmentioning

confidence: 99%

“…The tensor power spectrum is obtained by solving the equation of motion for the tensor perturbation which is given by the transverse-traceless component of the second-order Einstein equation. The equation of motion is given, in the Fourier space, by [55,73,126]…”

Section: Detectability Of Induced Gravitational Wavesmentioning

confidence: 99%

“…The energy density parameter at the production time, Ω GW,f (k) = Ω GW (t f , k), is given by [126] Ω…”

Section: Detectability Of Induced Gravitational Wavesmentioning

confidence: 99%

See 2 more Smart Citations

Primordial blackholes from Gauss-Bonnet-corrected single field inflation

Kawai,

Kim

2021

Preprint

View full text Add to dashboard Cite

Primordial blackholes formed in the early Universe via gravitational collapse of over-dense regions may contribute a significant amount to the present dark matter relic density. Inflation provides a natural framework for the production mechanism of primordial blackholes. For example, single field inflation models with a fine-tuned scalar potential may exhibit a period of ultra-slow-roll, during which the curvature perturbation may be enhanced to become seeds of the primordial blackholes formed as the corresponding scales reenter the horizon. In this work we propose an alternative mechanism for the primordial blackhole formation. We consider a model in which a scalar field is coupled to the Gauss-Bonnet term, and show that primordial blackholes may be seeded when a scalar potential term and the Gauss-Bonnet coupling term are nearly balanced. Large curvature perturbation in this model not only leads to the production of primordial blackholes but it also sources gravitational waves at the second order. We calculate the present density parameter of the gravitational waves and discuss the detectability of the signals by comparing them with sensitivity bounds of future gravitational wave experiments.

show abstract

“…See also Refs. [123][124][125][126][127]. It is due to the fact that the scalar mode and the tensor mode couple to each other at the second order in perturbations.…”

Section: Detectability Of Induced Gravitational Wavesmentioning

confidence: 99%

Section: Detectability Of Induced Gravitational Wavesmentioning

confidence: 99%

See 1 more Smart Citation

Primordial blackholes from Gauss-Bonnet-corrected single field inflation

Kawai,

Kim

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Recently, the North American Nano hertz Observatory for Gravitational Wave (NANO-Grav) Collaboration [20] has published an analysis of the 12.5 yrs pulsar timing array (PTA) data, where strong evidence of a stochastic process with a common amplitude and a common spectral slope across pulsars was found. These two observations moved the physicists attention toward the gravitational waves (GWs) generated by PBH-PBH mergers [21,22,23], as well as the scalar-induced GWs from the enhanced primordial density perturbations associated with PBH formation [24,25,26,27,28,29]. The GWs survey shall be a promising window to reveal the physical processes of PBH formations.…”

Section: Introductionmentioning

confidence: 99%

Primordial Black Holes and Gravitational Waves in Hybrid Inflation with Chaotic Potentials

Ahmed,

Junaid,

Zubair

2021

Preprint

View full text Add to dashboard Cite

We study the formation of primordial black hole (PBH) dark matter and the generation of scalar induced secondary gravitational waves (SIGWs) in a non-supersymmetric model of hybrid inflation with chaotic (polynomial-like) potential, including one-loop radiative corrections. A radiatively corrected version of these models is entirely consistent with Planck's data. By adding noncanonical kinetic energy term in the lagrangian, the inflaton experiences a period of ultra-slow-roll, and the amplitude of primordial power spectrum is enhanced to O(10 −2 ). The enhanced power spectra of primordial curvature perturbations can have both sharp and broad peaks. A wide mass range of PBH is realized in our models, and the frequencies of scalar induced gravitational waves are ranged from nHz to Hz. We present several benchmark points where the PBH mass generated during inflation is around (1 − 100) M , (10 −9 − 10 −7 ) M and (10 −16 − 10 −11 ) M . The PBHs can make up most of the dark matter with masses around (10 −16 − 10 −11 ) M and (1 − 100) M , and their associated SIGWs can be probed by the upcoming space-based gravitational wave (GW) observatories. The formation of 10 M PBH with wide peaks of SIGWs can be used to interpret the stochastic GW signal in the nHz band, detected by the North American Nano hertz Observatory (NANO-Grav) for Gravitational Waves. These signals may also be tested by future interferometer-type GW observations of EPTA, SKA, LISA, TaiJi, TianQin and Einstein Telescope (ET).

show abstract

“…It is well known that at first order in perturbation theory the scalar and tensor perturbations are decoupled, however, at second order the free wave equation of tensor perturbations gets a source term of scalar perturbations. Thus, when the scalar perturbations reenter the Hubble radius in the radiation-dominated(RD) era, it can leads to the production of secondorder GWs [8,9], and if the power spectrum of scalar perturbations is enhanced at small scales, the induced GWs can be sizable to be detected by experiments in near future [10][11][12][13][14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

NANOGrav Signal from double-inflection-point inflation

Gao

2021

Preprint

View full text Add to dashboard Cite

Recently, the NANOGrav collaboration has published an analysis of its 12.5-year PTA data, which implies the detection of a cosmological stochastic GW background. In this paper, we shall investigate the possibility to explain the NANOGrav signal by the GWs induced from inflationary models with double-inflection-point. Such double-inflection-point can be generated from polynomial potential or from the supergravity theory with a single chiral superfield. In such models, the inflection point at large scales leads to a nearly scale-invariant spectrum, which is consistent with current CMB constraints. The other inflection point leads to a large peak in the scalar power spectrum at small scales, which induce GWs at frequencies around nanohertz to explain the recent NANOGrav signal.

show abstract

Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations

Cited by 37 publications

References 0 publications

Primordial blackholes from Gauss-Bonnet-corrected single field inflation

Primordial blackholes from Gauss-Bonnet-corrected single field inflation

Primordial Black Holes and Gravitational Waves in Hybrid Inflation with Chaotic Potentials

NANOGrav Signal from double-inflection-point inflation

Contact Info

Product

Resources

About