The DOI matches its Crossref record; 137 of the 137 references it cites were found in a registry or an index.
Gravitational Waves Induced by Non-Gaussian Scalar Perturbations
Open accessAbstract
We study gravitational waves (GWs) induced by non-Gaussian curvature perturbations. We calculate the density parameter per logarithmic frequency interval, ${\mathrm{\ensuremath{\Omega}}}_{\mathrm{GW}}(k)$, given that the power spectrum of the curvature perturbation ${\mathcal{P}}_{\mathcal{R}}(k)$ has a narrow peak at some small scale ${k}_{*}$, with a local-type non-Gaussianity, and constrain the nonlinear parameter ${f}_{\mathrm{NL}}$ with the future LISA sensitivity curve as well as with constraints from the abundance of the primordial black holes (PBHs). We find that the non-Gaussian contribution to ${\mathrm{\ensuremath{\Omega}}}_{\mathrm{GW}}$ increases as ${k}^{3}$, peaks at $k/{k}_{*}=4/\sqrt{3}$, and has a sharp cutoff at $k=4{k}_{*}$. The non-Gaussian part can exceed the Gaussian part if ${\mathcal{P}}_{\mathcal{R}}(k){f}_{\mathrm{NL}}^{2}\ensuremath{\gtrsim}1$. If both a slope ${\mathrm{\ensuremath{\Omega}}}_{\mathrm{GW}}(k)\ensuremath{\propto}{k}^{\ensuremath{\beta}}$ with $\ensuremath{\beta}\ensuremath{\sim}3$ and the multiple-peak structure around a cutoff are observed, it can be recognized as a smoking gun of the primordial non-Gaussianity. We also find that if PBHs with masses of $1{0}^{20}$ to $1{0}^{22}\text{ }\text{ }\mathrm{g}$ are identified as cold dark matter of the Universe, the corresponding GWs must be detectable by LISA-like detectors, irrespective of the value of ${\mathcal{P}}_{\mathcal{R}}$ or ${f}_{\mathrm{NL}}$.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Observation of Gravitational Waves from a Binary Black Hole Merger
Abbott, B. P., Abbott, R., Abbott, T. D., Abernathy, M. R., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.061102 · Cited by 14,151
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
Abbott, B. P., Abbott, R., Abbott, T. D., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., Adya, V. B., et al. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.161101 · Cited by 9,473
GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
Abbott, B. P., Abbott, R., Abbott, T. D., Abernathy, M. R., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.241103 · Cited by 3,435
GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
Abbott, B. P., Abbott, R., Abbott, T. D., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., Adya, V. B., et al. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.221101 · Cited by 2,483
The Einstein Telescope: a third-generation gravitational wave observatory
Punturo, M., Abernathy, M., Acernese, F., Allen, B., Andersson, N., Arun, K., Barone, F., Barr, B., Barsuglia, M., Beker, M., et al. (2010) · Classical and Quantum Gravity · doi:10.1088/0264-9381/27/19/194002 · Cited by 2,355
GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
Abbott, B. P., Abbott, R., Abbott, T. D., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., Adya, V. B., et al. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.141101 · Cited by 2,147
TianQin: a space-borne gravitational wave detector
Luo, J., Chen, L.-S., Duan, H.-Z., Gong, Y.-G., Hu, S., Ji, J., Liu, Q., Mei, J., Milyukov, V., Sazhin, M., et al. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/3/035010 · Cited by 2,053
Black Holes in the Early Universe
Carr, B. J., & Hawking, S. W. (1974) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/168.2.399 · Cited by 1,827
Gravitationally Collapsed Objects of Very Low Mass
Hawking, S. (1971) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/152.1.75 · Cited by 1,744
The primordial black hole mass spectrum
Carr, B. J. (1975) · The Astrophysical Journal · doi:10.1086/153853 · Cited by 1,460
Cited by
Constraints on primordial black holes
Carr, B., Kohri, K., Sendouda, Y., & Yokoyama, J. (2021) · Reports on Progress in Physics · doi:10.1088/1361-6633/ac1e31 · Cited by 1,156
Astrophysics with the Laser Interferometer Space Antenna
Amaro-Seoane, P., Andrews, J., Arca Sedda, M., Askar, A., Baghi, Q., Balasov, R., Bartos, I., Bavera, S. S., Bellovary, J., Berry, C. P. L., et al. (2023) · Living Reviews in Relativity · doi:10.1007/s41114-022-00041-y · Cited by 609
Metadata
- Authors
- Cai, R.-G., Pi, S., & Sasaki, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2019-05-20
- Volume
- 122
- Issue
- 20
- Pages
- 201101-201101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2898458607
- Cited by
- 435
- References
- 137
- FWCI
- 27.35
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Gravitational Waves Induced by Non-Gaussian Scalar Perturbations. https://app.cochat.ai/papers/10.1103/physrevlett.122.201101
- The paper
- Cai, R.-G., Pi, S., & Sasaki, M. (2019). Gravitational Waves Induced by Non-Gaussian Scalar Perturbations. Physical Review Letters. https://doi.org/10.1103/physrevlett.122.201101
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
