Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics
Scientific paper
2010-12-13
Astronomy and Astrophysics
Astrophysics
Cosmology and Extragalactic Astrophysics
2 pages; submitted to MNRAS
Scientific paper
We present an analytical approximation formula for the growth function in a spatially flat cosmology with dust and a cosmological constant. Our approximate formula is written simply in terms of a rational function. We also show the approximate formula in a dust cosmology without a cosmological constant, directly as a function of the scale factor in terms of a rational function. The single rational function applies for all, open, closed and flat universes. Our results involve no elliptic functions, and have very small relative error of less than 0.2 per cent over the range of the scale factor $1/1000 \la a \lid 1$ and the density parameter $0.2 \la \Omega_{\rmn{m}} \lid 1$ for a flat cosmology, and less than $0.4$ per cent over the range $0.2 \la \Omega_{\rmn{m}} \la 4$ for a cosmology without a cosmological constant.
No associations
LandOfFree
An analytical approximation of the growth function in Friedmann-Lemaître universes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An analytical approximation of the growth function in Friedmann-Lemaître universes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An analytical approximation of the growth function in Friedmann-Lemaître universes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-26865