Abstract
Observations of distant supernovae indicate that the Universe is now in a phase of accelerated expansion1,2 the physical cause of which is a mystery3. Formally, this requires the inclusion of a term acting as a negative pressure in the equations of cosmic expansion, accounting for about 75 per cent of the total energy density in the Universe. The simplest option for this ‘dark energy’ corresponds to a ‘cosmological constant’, perhaps related to the quantum vacuum energy. Physically viable alternatives invoke either the presence of a scalar field with an evolving equation of state, or extensions of general relativity involving higher-order curvature terms or extra dimensions4,5,6,7,8. Although they produce similar expansion rates, different models predict measurable differences in the growth rate of large-scale structure with cosmic time9. A fingerprint of this growth is provided by coherent galaxy motions, which introduce a radial anisotropy in the clustering pattern reconstructed by galaxy redshift surveys10. Here we report a measurement of this effect at a redshift of 0.8. Using a new survey of more than 10,000 faint galaxies11,12, we measure the anisotropy parameter β = 0.70 ± 0.26, which corresponds to a growth rate of structure at that time of f = 0.91 ± 0.36. This is consistent with the standard cosmological-constant model with low matter density and flat geometry, although the error bars are still too large to distinguish among alternative origins for the accelerated expansion. The correct origin could be determined with a further factor-of-ten increase in the sampled volume at similar redshift.
This is a preview of subscription content, access via your institution
Relevant articles
Open Access articles citing this article.
-
Testing general relativity in cosmology
Living Reviews in Relativity Open Access 18 December 2018
-
Cosmology and fundamental physics with the Euclid satellite
Living Reviews in Relativity Open Access 12 April 2018
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Rent or buy this article
Get just this article for as long as you need it
$39.95
Prices may be subject to local taxes which are calculated during checkout


References
Riess, A. G. et al. Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron. J. 116, 1009–1038 (1998)
Perlmutter, S. et al. Measurements of omega and lambda from 42 high-redshift supernovae. Astrophys. J. 517, 565–586 (1999)
Turner, M. S. & Huterer, D. Cosmic acceleration, dark energy and fundamental physics. J. Phys. Soc. Jpn 76, 111015 (2007)
Wetterich, C. An asymptotically vanishing time-dependent cosmological “constant”. Astron. Astrophys. 301, 321–328 (1995)
Amendola, L. Perturbations in a coupled scalar field cosmology. Mon. Not. R. Astron. Soc. 312, 521–530 (2000)
Carroll, S. M., Duvvuri, V., Trodden, M. & Turner, M. S. Is cosmic speed-up due to new gravitational physics? Phys. Rev. D 70, 043528 (2004)
Dvali, G., Gabadadze, G. & Porrati, M. 4D gravity on a brane in 5D Minkowski space. Phys. Lett. B 485, 208–214 (2000)
Capozziello, S., Cardone, V. F. & Troisi, A. Reconciling dark energy models with f(R) theories. Phys. Rev. D 71, 043503 (2005)
Linder, E. V. Cosmic growth history and expansion history. Phys. Rev. D 72, 043529 (2005)
Peacock, J. A. et al. A measurement of the cosmological mass density from clustering in the 2dF Galaxy Redshift Survey. Nature 410, 169–173 (2001)
Le Fevre, O. et al. The VIMOS VLT deep survey. First epoch VVDS-deep survey: 11,564 spectra with 17.5 ≤ IAB ≤ 24, and the redshift distribution over 0 ≤ z ≤ 5. Astron. Astrophys. 439, 845–862 (2005)
Garilli, B. et al. The VIMOS-VLT Deep Survey: first data release of the IAB<22.5 wide survey. Astron. Astrophys. (submitted)
Lue, R., Scoccimarro, R. & Starkman, G. D. Probing Newton’s constant on vast scales: DGP gravity, cosmic acceleration and large-scale structure. Phys. Rev. D 69, 124015 (2004)
Wang, L. & Steinhardt, P. J. Cluster abundance constraints for cosmological models with a time-varying, spatially inhomogeneous energy component with negative pressure. Astrophys. J. 508, 483–490 (1998)
Amendola, L., Quercellini, C. & Giallongo, E. Constraints on perfect fluid and scalar dark energy models from future redshift surveys. Mon. Not. R. Astron. Soc. 357, 429–439 (2005)
Cooray, A., Huterer, D. & Baumann, D. Growth rate of large-scale structure as a powerful probe of dark energy. Phys. Rev. D 69, 027301 (2004)
Davis, M. & Peebles, P. J. E. A survey of galaxy redshifts. V. The two-point position and velocity correlations. Astrophys. J. 267, 465–482 (1983)
Kaiser, N. Clustering in real space and in redshift space. Mon. Not. R. Astron. Soc. 227, 1–21 (1987)
Hamilton, A. J. S. in The Evolving Universe Vol. 231 185–276 (ASSL Series, Kluwer Academic, Dordrecht, 1998)
Verde, L. et al. The 2dF Galaxy Redshift Survey: the bias of galaxies and the density of the Universe. Mon. Not. R. Astron. Soc. 335, 432–440 (2002)
Hawkins, E. et al. The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe. Mon. Not. R. Astron. Soc. 346, 78–96 (2003)
De Lucia, G. & Blaizot, J. The hierarchical formation of the brightest cluster galaxies. Mon. Not. R. Astron. Soc. 375, 2–14 (2006)
Marinoni, C. et al. The VIMOS VLT Deep Survey. Evolution of the non-linear galaxy bias up to z = 1.5. Astron. Astrophys. 442, 801–825 (2005)
Spergel, D. N. et al. Three-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: implications for cosmology. Astrophys. J. 170 (Suppl.). 377–408 (2007)
Borgani, S. et al. Measuring Ωm with the ROSAT Deep Cluster Survey. Astrophys. J. 561, 13–21 (2001)
Schuecker, P., Bohringer, H., Collins, C. A. & Guzzo, L. The REFLEX galaxy cluster survey. VII. Ωm and s8 from cluster abundance and large-scale clustering. Astron. Astrophys. 398, 867–877 (2003)
Ross, N. P. et al. The 2dF-SDSS LRG and QSO Survey: the 2-point correlation function and redshift-space distortions. Mon. Not. R. Astron. Soc. 381, 573–588 (2007)
Alcock, C. & Paczynski, B. An evolution free test for non-zero cosmological constant. Nature 281, 358–359 (1979)
Acknowledgements
L.G. thanks M. Longair, C. Baugh, C. Porciani, P. Norberg, J. Peacock, A. Szalay and Y. Wang for discussions, S. White for suggestions and encouragement and L. Amendola, C. Di Porto and E. Linder for providing model predictions in electronic form. G. Pratt, S. White and E. Linder are gratefully acknowledged for reading the manuscript. L.G. acknowledges the support and hospitality of MPE, MPA and the European Southern Observatory (ESO) during this work. This research has been developed within the framework of the VVDS consortium and has been partially supported by the CNRS-INSU and its Programme National de Cosmologie (France), and by PRIN-INAF 2005. The VLT-VIMOS observations were carried out on guaranteed time allocated by the ESO to the VIRMOS consortium, under a contractual agreement between the CNRS of France, heading a consortium of French and Italian institutes, and the ESO, to design, manufacture and test the VIMOS instrument.
Author Contributions All authors worked on the preparation, observation, reduction and measurement of the spectroscopic data using codes developed by B.G., D.B., R.S., M.S., P.F., S.P. and A.Z. Spectroscopy was based on imaging data procured and processed by H.J.McC., S.F., O.L.F., M.R. and A.I. and organized in a database by V.L.B. and L.T. L.G., B.M., A.P., O.L.F., S.d.l.T. and M.P. developed the codes to measure galaxy correlations. M.P., E.B., L.G., C.M., L.M. and K.D. modelled the measurements and performed the Monte Carlo tests. J.B. and G.D.L. built the mock samples that were processed to mimic the VVDS by B.M., B.G. and P.M. This paper is dedicated to P. Schuecker.
Author information
Authors and Affiliations
Corresponding author
Supplementary information
Supplementary Information
The file contains Supplementary Notes with additional references and Supplementary Figures 1-2 with Legends. (PDF 1665 kb)
Rights and permissions
About this article
Cite this article
Guzzo, L., Pierleoni, M., Meneux, B. et al. A test of the nature of cosmic acceleration using galaxy redshift distortions. Nature 451, 541–544 (2008). https://doi.org/10.1038/nature06555
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1038/nature06555
This article is cited by
-
Experiments with levitated force sensor challenge theories of dark energy
Nature Physics (2022)
-
Testing general relativity in cosmology
Living Reviews in Relativity (2019)
-
No evidence for modifications of gravity from galaxy motions on cosmological scales
Nature Astronomy (2018)
-
Pancakes and fingers in the sky
Nature Astronomy (2018)
-
Cosmology and fundamental physics with the Euclid satellite
Living Reviews in Relativity (2018)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.