2020
DOI: 10.1142/s0218271820500285
|View full text |Cite
|
Sign up to set email alerts
|

Induced gravitational waves in a general cosmological background

Abstract: Gravitational waves are inevitably produced by second order terms in cosmological perturbation theory. Most notably, the so-called induced gravitational waves are a window to the small scales part of the primordial spectrum of fluctuations and a key counterpart to the primordial black hole scenario. However, semi-analytical solutions are only known for matter and radiation domination eras. In this paper, we present new analytic integral formulas for the induced gravitational waves on subhorizon scales in a gen… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

4
131
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
7
1

Relationship

0
8

Authors

Journals

citations
Cited by 132 publications
(139 citation statements)
references
References 103 publications
4
131
0
Order By: Relevance
“…Furthermore the spectrum will be modified for the modes beyond the horizon size at the time of the transition. The typical ∝ f 3 result expected for the spectrum in RD [1025] at these scales is modified as we apply the transfer function upon re-entry of the modes [1026,1027,980,1028] and as an example we find ∝ f for modes re-entering during EMD era. While in principle this modification could allow us to distinguish between RD and modified expansion, the feature in the spectra will only appear at frequencies much below the peak f f peak (β/H) −1 so it could only be visible in exceptionally strong transitions [1028].…”
Section: First Order Phase Transitionsmentioning
confidence: 68%
See 2 more Smart Citations
“…Furthermore the spectrum will be modified for the modes beyond the horizon size at the time of the transition. The typical ∝ f 3 result expected for the spectrum in RD [1025] at these scales is modified as we apply the transfer function upon re-entry of the modes [1026,1027,980,1028] and as an example we find ∝ f for modes re-entering during EMD era. While in principle this modification could allow us to distinguish between RD and modified expansion, the feature in the spectra will only appear at frequencies much below the peak f f peak (β/H) −1 so it could only be visible in exceptionally strong transitions [1028].…”
Section: First Order Phase Transitionsmentioning
confidence: 68%
“…In summary, the GW-induced effects due to an early MD period may strongly depend on how the reheating of the Universe took place. Also, more generally, the thermal history of the early Universe can be probed from the second order induced GW background [979,980,981]. Going back to the case of a stiff epoch preceding the standard RD era, it is worth stressing that Refs.…”
Section: Inflationmentioning
confidence: 99%
See 1 more Smart Citation
“…In most of the inflationary models, the induced second-order GW is generically negligible compared to the first-order GWs. However, if the power spectrum of scalar perturbations is enhanced at small scales, the second-order GWs can be sizable or even larger than the first-order one [10][11][12][13][14][15][16][17][18][19][20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…The gauge dependence or independence of induced gravitational waves are discussed in these papers [11][12][13][14][15][16]. The induced gravitational waves in different cosmological backgrounds are explored in [17][18][19][20][21][22][23][24][25]. The induced gravitational waves not only probe the primordial density perturbation spectrum on small scales, but also probe the thermal history of the universe [28][29][30].…”
Section: Introductionmentioning
confidence: 99%