Built on

L. P. Grishchuk, “Primordial gravitons and possibility of their observation,” Soviet Journal of Experimental and Theoretical Physics Letters 23
1976
Earlier work this paper cites.
L. P. Grishchuk, “REVIEWS OF TOPICAL PROBLEMS: Gravitational waves in the cosmos and the laboratory,” Soviet Physics Uspekhi 20
1977
Earlier work this paper cites.
A. A. Starobinsky, “A new type of isotropic cosmological models without singularity,” Physics Letters B 91
1980
Earlier work this paper cites.
A. D. Linde, “A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems,” Physics Letters B 108
1982
Earlier work this paper cites.
R. Brandenberger and C. Vafa, “Superstrings in the early universe,” Nuclear Physics B 316
1989
Earlier work this paper cites.
Viatcheslav F. Mukhanov, H. A. Feldman, and Robert H. Brandenberger, “Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions,” Phys. Rept. 215
1992
Earlier work this paper cites.
V. F. Mukhanov, H. A. Feldman, and R. H. Brandenberger, “Theory of cosmological perturbations,” Physics Reports 215
1992
Earlier work this paper cites.
Michael S. Turner, Martin J. White, and James E. Lidsey, “Tensor perturbations in inflationary models as a probe of cosmology,” Phys. Rev. D48
1993
Earlier work this paper cites.
Uros Seljak and Matias Zaldarriaga, “A Line of sight integration approach to cosmic microwave background anisotropies,” Astrophys. J. 469
1996
Earlier work this paper cites.
Uros Seljak and Matias Zaldarriaga, “Signature of gravity waves in polarization of the microwave background,” Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
Jaume Garriga and Viatcheslav F. Mukhanov, “Perturbations in k-inflation,” Phys. Lett. B458
1999
Earlier work this paper cites.
B. Allen and J. D. Romano, “Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities,” Physical Review D 59
1999
Earlier work this paper cites.
M. Maggiore, “Gravitational wave experiments and early universe cosmology,” Physics Reports 331
2000
Earlier work this paper cites.
Antony Lewis, Anthony Challinor, and Anthony Lasenby, “Efficient computation of CMB anisotropies in closed FRW models,” Astrophys. J. 538
2000
Earlier work this paper cites.
Michele Maggiore, “Gravitational wave experiments and early universe cosmology,” Phys. Rept. 331
2000
Earlier work this paper cites.
N. Seto, S. Kawamura, and T. Nakamura, “Possibility of Direct Measurement of the Acceleration of the Universe Using 0.1 Hz Band Laser Interferometer Gravitational Wave Antenna in Space,” Physical Review Letters 87
2001
Earlier work this paper cites.
Justin Khoury, Burt A. Ovrut, Paul J. Steinhardt, and Neil Turok, “The Ekpyrotic universe: Colliding branes and the origin of the hot big bang,” Phys. Rev. D64
2001
Earlier work this paper cites.
Antony Lewis and Sarah Bridle, “Cosmological parameters from CMB and other data: a Monte- Carlo approach,” Phys. Rev. D66
2002
Earlier work this paper cites.
Y.-S. Piao and Y.-Z. Zhang, “Phantom inflation and primordial perturbation spectrum,” Phys. Rev. D 70
2004
Earlier work this paper cites.
Latham A. Boyle, Paul J. Steinhardt, and Neil Turok, “The Cosmic gravitational wave background in a cyclic universe,” Phys. Rev. D69
2004
Earlier work this paper cites.
Steven Weinberg, “Damping of tensor modes in cosmology,” Phys. Rev. D69
2004
Earlier work this paper cites.
M. Baldi, F. Finelli, and S. Matarrese, “Inflation with violation of the null energy condition,” Phys. Rev. D 72
2005
Earlier work this paper cites.
Planck Collaboration, ESA publication ESA-SCI(2005)/01 (2005)
2005
Earlier work this paper cites.
C. Cutler and J. Harms, “Big Bang Observer and the neutron-star-binary subtraction problem,” Phys. Rev. D 73
2006
Earlier work this paper cites.
Yuki Watanabe and Eiichiro Komatsu, “Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model,” Phys. Rev. D73
2006
Earlier work this paper cites.
Tristan L. Smith, Elena Pierpaoli, and Marc Kamionkowski, “A new cosmic microwave background constraint to primordial gravitational waves,” Phys. Rev. Lett. 97
2006
Earlier work this paper cites.

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2015

Gravitational-wave cosmology across 29 decades in frequency

Lasky, Paul D., Mingarelli, Chiara M. F., Smith, Tristan L. et al.

Understand

Quantum fluctuations of the gravitational field in the early Universe, amplified by inflation, produce a primordial gravitational-wave background across a broad frequency band.

We derive constraints on the spectrum of this gravitational radiation, and hence on theories of the early Universe, by combining experiments that cover 29 orders of magnitude in frequency.
These include Planck observations of cosmic microwave background temperature and polarization power spectra and lensing, together with baryon acoustic oscillations and big bang nucleosynthesis measurements, as well as new pulsar timing array and ground-based interferometer limits.
While individual experiments constrain the gravitational-wave energy density in specific frequency bands, the combination of experiments allows us to constrain cosmological parameters, including the inflationary spectral index, $n_t$, and the tensor-to-scalar ratio, $r$.

Built on

L. P. Grishchuk, “Primordial gravitons and possibility of their observation,” Soviet Journal of Experimental and Theoretical Physics Letters 23
1976
Earlier work this paper cites.
L. P. Grishchuk, “REVIEWS OF TOPICAL PROBLEMS: Gravitational waves in the cosmos and the laboratory,” Soviet Physics Uspekhi 20
1977
Earlier work this paper cites.
A. A. Starobinsky, “A new type of isotropic cosmological models without singularity,” Physics Letters B 91
1980
Earlier work this paper cites.
A. D. Linde, “A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems,” Physics Letters B 108
1982
Earlier work this paper cites.
R. Brandenberger and C. Vafa, “Superstrings in the early universe,” Nuclear Physics B 316
1989
Earlier work this paper cites.
Viatcheslav F. Mukhanov, H. A. Feldman, and Robert H. Brandenberger, “Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions,” Phys. Rept. 215
1992
Earlier work this paper cites.
V. F. Mukhanov, H. A. Feldman, and R. H. Brandenberger, “Theory of cosmological perturbations,” Physics Reports 215
1992
Earlier work this paper cites.
Michael S. Turner, Martin J. White, and James E. Lidsey, “Tensor perturbations in inflationary models as a probe of cosmology,” Phys. Rev. D48
1993
Earlier work this paper cites.
Uros Seljak and Matias Zaldarriaga, “A Line of sight integration approach to cosmic microwave background anisotropies,” Astrophys. J. 469
1996
Earlier work this paper cites.
Uros Seljak and Matias Zaldarriaga, “Signature of gravity waves in polarization of the microwave background,” Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
Jaume Garriga and Viatcheslav F. Mukhanov, “Perturbations in k-inflation,” Phys. Lett. B458
1999
Earlier work this paper cites.
B. Allen and J. D. Romano, “Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities,” Physical Review D 59
1999
Earlier work this paper cites.
M. Maggiore, “Gravitational wave experiments and early universe cosmology,” Physics Reports 331
2000
Earlier work this paper cites.
Antony Lewis, Anthony Challinor, and Anthony Lasenby, “Efficient computation of CMB anisotropies in closed FRW models,” Astrophys. J. 538
2000
Earlier work this paper cites.
Michele Maggiore, “Gravitational wave experiments and early universe cosmology,” Phys. Rept. 331
2000
Earlier work this paper cites.
N. Seto, S. Kawamura, and T. Nakamura, “Possibility of Direct Measurement of the Acceleration of the Universe Using 0.1 Hz Band Laser Interferometer Gravitational Wave Antenna in Space,” Physical Review Letters 87
2001
Earlier work this paper cites.
Justin Khoury, Burt A. Ovrut, Paul J. Steinhardt, and Neil Turok, “The Ekpyrotic universe: Colliding branes and the origin of the hot big bang,” Phys. Rev. D64
2001
Earlier work this paper cites.
Antony Lewis and Sarah Bridle, “Cosmological parameters from CMB and other data: a Monte- Carlo approach,” Phys. Rev. D66
2002
Earlier work this paper cites.
Y.-S. Piao and Y.-Z. Zhang, “Phantom inflation and primordial perturbation spectrum,” Phys. Rev. D 70
2004
Earlier work this paper cites.
Latham A. Boyle, Paul J. Steinhardt, and Neil Turok, “The Cosmic gravitational wave background in a cyclic universe,” Phys. Rev. D69
2004
Earlier work this paper cites.
Steven Weinberg, “Damping of tensor modes in cosmology,” Phys. Rev. D69
2004
Earlier work this paper cites.
M. Baldi, F. Finelli, and S. Matarrese, “Inflation with violation of the null energy condition,” Phys. Rev. D 72
2005
Earlier work this paper cites.
Planck Collaboration, ESA publication ESA-SCI(2005)/01 (2005)
2005
Earlier work this paper cites.
C. Cutler and J. Harms, “Big Bang Observer and the neutron-star-binary subtraction problem,” Phys. Rev. D 73
2006
Earlier work this paper cites.
Yuki Watanabe and Eiichiro Komatsu, “Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model,” Phys. Rev. D73
2006
Earlier work this paper cites.
Tristan L. Smith, Elena Pierpaoli, and Marc Kamionkowski, “A new cosmic microwave background constraint to primordial gravitational waves,” Phys. Rev. Lett. 97
2006
Earlier work this paper cites.

Similar

Then

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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alphaXiv is searching for related work…

Original

2010

Cited alongside, same era.

C. Caprini, R. Durrer, and X. Siemens, “Detection of gravitational waves from the QCD phase transition with pulsar timing arrays,” Phys. Rev. D 82

2010

Cited alongside, same era.

H. L. Child and J. T. Giblin, Jr., “Gravitational radiation from first-order phase transitions,” JCAP 10

2012

Cited alongside, same era.

V. Mandic, E. Thrane, S. Giampanis, and T. Regimbau, “Parameter Estimation in Searches for the Stochastic Gravitational-Wave Background,” Physical Review Letters 109

Original

2012

Cited alongside, same era.

Irene Sendra and Tristan L. Smith, “Improved limits on short-wavelength gravitational waves from the cosmic microwave background,” Phys. Rev. D85

Original

2012

Cited alongside, same era.

Wen Zhao, Yang Zhang, Xiao-Peng You, and Zong-Hong Zhu, “Constraints of relic gravitational waves by pulsar timing arrays: Forecasts for the FAST and SKA projects,” Phys. Rev. D87

Original

2013

Cited alongside, same era.

E. Thrane and J. D. Romano, “Sensitivity curves for searches for gravitational-wave backgrounds,” Phys. Rev. D 88

Original

2013

Cited alongside, same era.

Antony Lewis, “Efficient sampling of fast and slow cosmological parameters,” Phys. Rev. D87

Original

2013

Cited alongside, same era.

R. N. Manchester, G. Hobbs, M. Bailes, W. A. Coles, W. van Straten, M. J. Keith, R. M. Shannon, N. D. R. Bhat, A. Brown, S. G. Burke-Spolaor, D. J. Champion, A. Chaudhary, R. T. Edwards, G. Hampson, A. W. Hotan, A. Jameson, F. A. Jenet, M. J. Kesteven, J. Khoo, J. Kocz, K. Maciesiak, S. Oslowski, V. Ravi, J. R. Reynolds, J. M. Sarkissian, J. P. W. Verbiest, Z. L. Wen, W. E. Wilson, D. Yardley, W. M. Yan, and X. P. You, “The Parkes Pulsar Timing Array Project,” Publ. Astron. Soc. Aust. 30

Original

2013

Cited alongside, same era.

Original

2015

Closest in time.

P. D. Meerburg, R. Hložek, B. Hadzhiyska, and J. Meyers, “Multiwavelength constraints on the inflationary consistency relation,” Phys. Rev. D 91

Original

2015

Closest in time.

M. Cortês, A. R. Liddle, and D. Parkinson, “Tensors, BICEP2 results, prior dependence, and dust,” Phys. Rev. D 92

Original

2015

Closest in time.

T. L. Smith, in prep. (2015)

2015

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Xiao-Jin Liu, Wen Zhao, Yang Zhang, and Zong-Hong Zhu, “Detecting Relic Gravitational Waves by Pulsar Timing Arrays: Effects of Cosmic Phase Transitions and Relativistic Free-Streaming Gases,” (2015), arXiv:1509.03524 [astro-ph.CO]

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2015

Closest in time.

Q.-G. Huang and S. Wang, “No evidence for the blue-tilted power spectrum of relic gravitational waves,” JCAP 6

Original

2015

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G. Cabass, L. Pagano, L. Salvati, M. Gerbino, E. Giusarma, and A. Melchiorri, “Updated Constraints and Forecasts on Primordial Tensor Modes,” (2015), arXiv:1511.05146

Original

2015

Closest in time.

P. A. R. Ade, N. Aghanim, Z. Ahmed, R. W. Aikin, K. D. Alexander, M. Arnaud, J. Aumont, C. Baccigalupi, A. J. Banday, and et al., “Joint Analysis of BICEP2/Keck Array and Planck Data,” Physical Review Letters 114

Original

2015

Closest in time.

R. M. Shannon, V. Ravi, L. T. Lentati, P. D. Lasky, G. Hobbs, M. Kerr, R. N. Manchester, W. A. Coles, Y. Levin, M. Bailes, N. D. R. Bhat, S. Burke-Spolaor, S. Dai, M. J. Keith, S. Osłowski, D. J. Reardon, W. van Straten, L. Toomey, J.-B. Wang, L. Wen, J. S. B. Wyithe, and X.-J. Zhu, “Gravitational waves from binary supermassive black holes missing in pulsar observations,” Science 349

2015

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N. Aghanim et al. (Planck), “Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters,” Submitted to: Astron. Astrophys. (2015), arXiv:1507.02704 [astro-ph.CO]

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2015

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R. Keisler et al. (SPT), “Measurements of Sub-degree B-mode Polarization in the Cosmic Microwave Background from 100 Square Degrees of SPTpol Data,” Astrophys. J. 807

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2015

Closest in time.

L. Lentati, S. R. Taylor, C. M. F. Mingarelli, A. Sesana, S. A. Sanidas, A. Vecchio, R. N. Caballero, K. J. Lee, R. van Haasteren, S. Babak, C. G. Bassa, P. Brem, M. Burgay, D. J. Champion, I. Cognard, G. Desvignes, J. R. Gair, L. Guillemot, J. W. T. Hessels, G. H. Janssen, R. Karuppusamy, M. Kramer, A. Lassus, P. Lazarus, K. Liu, S. Osłowski, D. Perrodin, A. Petiteau, A. Possenti, M. B. Purver, P. A. Rosado, R. Smits, B. Stappers, G. Theureau, C. Tiburzi, and J. P. W. Verbiest, “European Pulsar Timing Array limits on an isotropic stochastic gravitational-wave background,” Mon. Not. R. Astron. Soc. 453

Original

2015

Closest in time.

Z. Arzoumanian, A. Brazier, S. Burke-Spolaor, S. Chamberlin, S. Chatterjee, B. Christy, J. Cordes, N. Cornish, P. Demorest, X. Deng, T. Dolch, J. Ellis, R. Ferdman, E. Fonseca, N. Garver-Daniels, F. Jenet, G. Jones, V. Kaspi, M. Koop, M. Lam, J. Lazio, L. Levin, A. Lommen, D. Lorimer, J. Luo, R. Lynch, D. Madison, M. McLaughlin, S. McWilliams, C. Mingarelli, D. Nice, N. Palliyaguru, T. Pennucci, S. Ransom, L. Sampson, S. Sanidas, A. Sesana, X. Siemens, J. Simon, I. Stairs, D. Stinebring, K. Stovall, J. Swiggum, S. Taylor, M. Vallisneri, R. van Haasteren, Y. Wang, and W. Zhu, “The NANOGrav Nine-year Data Set: Limits on the Isotropic Stochastic Gravitational Wave Background,” ArXiv e-prints (2015), arXiv:1508.03024

Original

2015

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T. Kalaydzhyan and E. Shuryak, “Gravity waves generated by sounds from big bang phase transitions,” Phys. Rev. D 91

2015

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J Aasi et al. , “Searching for stochastic gravitational waves using data from the two colocated LIGO Hanford detectors,” Phys. Rev. D 91

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2015

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Luca Pagano, Laura Salvati, and Alessandro Melchiorri, “New constraints on primordial gravitational waves from Planck 2015,” (2015), arXiv:1508.02393 [astro-ph.CO]

Original

2015

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G. Janssen, G. Hobbs, M. McLaughlin, C. Bassa, A. Deller, M. Kramer, K. Lee, C. Mingarelli, P. Rosado, S. Sanidas, A. Sesana, L. Shao, I. Stairs, B. Stappers, and J. P. W. Verbiest, “Gravitational Wave Astronomy with the SKA,” Advancing Astrophysics with the Square Kilometre Array (AASKA14) , 37 (2015), arXiv:1501.00127 [astro-ph.IM]

Original

2015

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Q.-G. Huang, S. Wang, and W. Zhao, “Forecasting sensitivity on tilt of power spectrum of primordial gravitational waves after Planck satellite,” ArXiv e-prints (2015), arXiv:1509.02676

Original

2015

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B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, and et al., “Observation of Gravitational Waves from a Binary Black Hole Merger,” Physical Review Letters 116

2016

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Planck Collaboration, P. A. R. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, M. Baker, A. Balbi, A. J. Banday, and et al., “Planck early results. I. The Planck mission,” Astronomy & Astrophysics 536

Original

2022

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Marc Kamionkowski, Arthur Kosowsky, and Albert Stebbins, “A Probe of primordial gravity waves and vorticity,” Phys. Rev. Lett. 78

2061

Closest in time.