Testing LCDM with the Growth Function δ(a): Current Constraints
| dc.creator | Nesseris, S. | |
| dc.creator | Perivolaropoulos, L. | |
| dc.date | 2007-10-04 | |
| dc.date | 2007-10-31 | |
| dc.date.accessioned | 2026-07-07T11:19:47Z | |
| dc.date.available | 2026-07-07T11:19:47Z | |
| dc.description | We have compiled a dataset consisting of 22 datapoints at a redshift range (0.15,3.8) which can be used to constrain the linear perturbation growth rate f=\frac{d\lnδ}{d\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 datapoints constrain f indirectly through the rms mass fluctuation σ_8(z) inferred from Ly-αat various redshifts. Our analysis tests the consistency of the LCDM model and leads to a constraint of the Wang-Steinhardt growth index γ(defined from f=Ω_m^γ) as γ=0.67^{+0.20}_{-0.17}. This result is clearly consistent at $1σ$ with the value γ={6/11}=0.55 predicted by LCDM. A first order expansion of the index γin redshift space leads to similar results.We also apply our analysis on a new null test of LCDM 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 LCDM provides an excellent fit to the current linear growth data. | |
| dc.description | 7 pages, 4 figures. Added comments on the data of Table I (after eq. (2.16)). Corrected a typo on eq. (2.15). The mathematica files with the numerical analysis of this study may be found at http://nesseris.physics.uoi.gr/growth/growth.htm | |
| dc.identifier | https://arxiv.org/abs/0710.1092 | |
| dc.identifier | http://arxiv.org/abs/0710.1092 | |
| dc.identifier | Phys.Rev.D77:023504,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.023504 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193805 | |
| dc.subject | Astrophysics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Testing LCDM with the Growth Function δ(a): Current Constraints | |
| dc.type | text |