Built on

S. Wang, T. Terada and K. Kohri, Prospective constraints on the primordial black hole abundance from the stochastic gravitational-wave backgrounds produced by coalescing events and curvature perturbations , 1903.05924
Original
1903
Earlier work this paper cites.
S. Hawking, Gravitationally collapsed objects of very low mass , Mon. Not. Roy. Astron. Soc. 152
1971
Earlier work this paper cites.
B. J. Carr and S. W. Hawking, Black holes in the early Universe , Mon. Not. Roy. Astron. Soc. 168
1974
Earlier work this paper cites.
B. J. Carr, The Primordial black hole mass spectrum , Astrophys. J. 201
1975
Earlier work this paper cites.
M. Gasperini and G. Veneziano, The Pre - big bang scenario in string cosmology , Phys. Rept. 373
2003
Earlier work this paper cites.
L. A. Boyle, P. J. Steinhardt and N. Turok, The Cosmic gravitational wave background in a cyclic universe , Phys. Rev. D69
2004
Earlier work this paper cites.
C. L. Carilli and S. Rawlings, Science with the Square Kilometer Array: Motivation, key science projects, standards and assumptions , New Astron. Rev. 48
2004
Earlier work this paper cites.
S. Weinberg, Damping of tensor modes in cosmology , Phys. Rev. D69
2004
Earlier work this paper cites.
J. Crowder and N. J. Cornish, Beyond LISA: Exploring future gravitational wave missions , Phys. Rev. D72
2005
Earlier work this paper cites.
V. Corbin and N. J. Cornish, Detecting the cosmic gravitational wave background with the big bang observer , Class. Quant. Grav. 23
2006
Earlier work this paper cites.
S. Kawamura et al., The Japanese space gravitational wave antenna DECIGO , Class. Quant. Grav. 23
2006
Earlier work this paper cites.
Y. Watanabe and E. Komatsu, Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model , Phys. Rev. D73
2006
Earlier work this paper cites.
C. T. Byrnes, M. Sasaki and D. Wands, Primordial trispectrum from inflation , Phys. Rev. D 74
2006
Earlier work this paper cites.
K. N. Ananda, C. Clarkson and D. Wands, The Cosmological gravitational wave background from primordial density perturbations , Phys. Rev. D75
2007
Earlier work this paper cites.
D. Baumann, P. J. Steinhardt, K. Takahashi and K. Ichiki, Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations , Phys. Rev. D76
2007
Earlier work this paper cites.
D. Seery, J. E. Lidsey and M. S. Sloth, The inflationary trispectrum , Journal of Cosmology and Astroparticle Physics 2007
2007
Earlier work this paper cites.
J.-L. Lehners, Ekpyrotic and Cyclic Cosmology , Phys. Rept. 465
Original
2008
Earlier work this paper cites.
R. Saito and J. Yokoyama, Gravitational wave background as a probe of the primordial black hole abundance , Phys. Rev. Lett. 102
Original
2009
Earlier work this paper cites.
R. Allahverdi, R. Brandenberger, F.-Y. Cyr-Racine and A. Mazumdar, Reheating in Inflationary Cosmology: Theory and Applications , Ann. Rev. Nucl. Part. Sci. 60
Original
2010
Earlier work this paper cites.
R. Saito and J. Yokoyama, Gravitational-Wave Constraints on the Abundance of Primordial Black Holes , Prog. Theor. Phys. 123
Original
2010
Earlier work this paper cites.

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2019

Resonant multiple peaks in the induced gravitational waves

Cai, Rong-Gen, Pi, Shi, Wang, Shao-Jiang et al.

Understand

We identify analytically a multiple-peak structure in the energy-density spectrum of induced gravitational waves (GWs) generated at second-order from a primordial scalar perturbations also with multiple($n$) peaks at small scales $k_{*i}$.

The energy-density spectrum of induced GWs exhibits at most $C_{n+1}^2$ and at least $n$ peaks at wave-vectors $k_{ij}\equiv(k_{*i}+k_{*j})/\sqrt{3}$ due to resonant amplification, and, under the narrow-width approximation, it contains an universal factor that can be interpreted as a result of momentum conservation.
We also extend these discussions to the case of non-Gaussian perturbations.

Built on

S. Wang, T. Terada and K. Kohri, Prospective constraints on the primordial black hole abundance from the stochastic gravitational-wave backgrounds produced by coalescing events and curvature perturbations , 1903.05924
Original
1903
Earlier work this paper cites.
S. Hawking, Gravitationally collapsed objects of very low mass , Mon. Not. Roy. Astron. Soc. 152
1971
Earlier work this paper cites.
B. J. Carr and S. W. Hawking, Black holes in the early Universe , Mon. Not. Roy. Astron. Soc. 168
1974
Earlier work this paper cites.
B. J. Carr, The Primordial black hole mass spectrum , Astrophys. J. 201
1975
Earlier work this paper cites.
M. Gasperini and G. Veneziano, The Pre - big bang scenario in string cosmology , Phys. Rept. 373
2003
Earlier work this paper cites.
L. A. Boyle, P. J. Steinhardt and N. Turok, The Cosmic gravitational wave background in a cyclic universe , Phys. Rev. D69
2004
Earlier work this paper cites.
C. L. Carilli and S. Rawlings, Science with the Square Kilometer Array: Motivation, key science projects, standards and assumptions , New Astron. Rev. 48
2004
Earlier work this paper cites.
S. Weinberg, Damping of tensor modes in cosmology , Phys. Rev. D69
2004
Earlier work this paper cites.
J. Crowder and N. J. Cornish, Beyond LISA: Exploring future gravitational wave missions , Phys. Rev. D72
2005
Earlier work this paper cites.
V. Corbin and N. J. Cornish, Detecting the cosmic gravitational wave background with the big bang observer , Class. Quant. Grav. 23
2006
Earlier work this paper cites.
S. Kawamura et al., The Japanese space gravitational wave antenna DECIGO , Class. Quant. Grav. 23
2006
Earlier work this paper cites.
Y. Watanabe and E. Komatsu, Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model , Phys. Rev. D73
2006
Earlier work this paper cites.
C. T. Byrnes, M. Sasaki and D. Wands, Primordial trispectrum from inflation , Phys. Rev. D 74
2006
Earlier work this paper cites.
K. N. Ananda, C. Clarkson and D. Wands, The Cosmological gravitational wave background from primordial density perturbations , Phys. Rev. D75
2007
Earlier work this paper cites.
D. Baumann, P. J. Steinhardt, K. Takahashi and K. Ichiki, Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations , Phys. Rev. D76
2007
Earlier work this paper cites.
D. Seery, J. E. Lidsey and M. S. Sloth, The inflationary trispectrum , Journal of Cosmology and Astroparticle Physics 2007
2007
Earlier work this paper cites.
J.-L. Lehners, Ekpyrotic and Cyclic Cosmology , Phys. Rept. 465
Original
2008
Earlier work this paper cites.
R. Saito and J. Yokoyama, Gravitational wave background as a probe of the primordial black hole abundance , Phys. Rev. Lett. 102
Original
2009
Earlier work this paper cites.
R. Allahverdi, R. Brandenberger, F.-Y. Cyr-Racine and A. Mazumdar, Reheating in Inflationary Cosmology: Theory and Applications , Ann. Rev. Nucl. Part. Sci. 60
Original
2010
Earlier work this paper cites.
R. Saito and J. Yokoyama, Gravitational-Wave Constraints on the Abundance of Primordial Black Holes , Prog. Theor. Phys. 123
Original
2010
Earlier work this paper cites.