The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
TestingΛCDMwith the growth functionδ(a): Current constraints
Open accessAbstract
We have compiled a data set consisting of 22 data points at a redshift range (0.15, 3.8) which can be used to constrain the linear perturbation growth rate $f=\frac{d\mathrm{ln}\ensuremath{\delta}}{d\mathrm{ln}a}$. Five of these data points constrain directly the growth rate $f$ through either redshift distortions or change of the power spectrum with redshift. The rest of the data points constrain $f$ indirectly through the rms mass fluctuation ${\ensuremath{\sigma}}_{8}(z)$ inferred from ${L}_{y}\mathrm{\text{\ensuremath{-}}}\ensuremath{\alpha}$ at various redshifts. Our analysis tests the consistency of the $\ensuremath{\Lambda}\mathrm{CDM}$ model and leads to a constraint of the Wang-Steinhardt growth index $\ensuremath{\gamma}$ [defined from $f={\ensuremath{\Omega}}_{m}(a{)}^{\ensuremath{\gamma}}$] as $\ensuremath{\gamma}={0.67}_{\ensuremath{-}0.17}^{+0.20}$. This result is clearly consistent at $1\ensuremath{\sigma}$ with the value $\ensuremath{\gamma}=\frac{6}{11}=0.545$ predicted by $\ensuremath{\Lambda}\mathrm{CDM}$. We also apply our analysis on a new null test of $\ensuremath{\Lambda}\mathrm{CDM}$ which is similar to the one recently proposed by Chiba and Nakamura (arXiv:0708.3877) but does not involve derivatives of the expansion rate $H(z)$. This also leads to the fact that $\ensuremath{\Lambda}\mathrm{CDM}$ provides an excellent fit to the current linear growth data.
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Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
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Komatsu, E., Dunkley, J., Nolta, M. R., Bennett, C. L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Limon, M., Page, L., et al. (2009) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/180/2/330 · Cited by 5,786
Dunkley, J., Komatsu, E., Nolta, M. R., Spergel, D. N., Larson, D., Hinshaw, G., Page, L., Bennett, C. L., Gold, B., Jarosik, N., et al. (2009) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/180/2/306 · Cited by 1,787
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Sahni, V., Shafieloo, A., & Starobinsky, A. A. (2008) · Physical Review D · doi:10.1103/physrevd.78.103502 · Cited by 709
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Nesseris, S., Pantazis, G., & Perivolaropoulos, L. (2017) · Physical Review D · doi:10.1103/physrevd.96.023542 · Cited by 229
Self-citation
Metadata
- Authors
- Nesseris, S., & Perivolaropoulos, L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2008-01-07
- Volume
- 77
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2150124329
- Cited by
- 211
- References
- 8
- FWCI
- 15.92
- Type
- journal article
- Language
- en
- Open access
- green
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