Is there a flatness problem in classical cosmology?
Article first published online: 9 FEB 2012
© 2012 The Author Monthly Notices of the Royal Astronomical Society © 2012 RAS
Monthly Notices of the Royal Astronomical Society
Volume 421, Issue 1, pages 561–569, March 2012
How to Cite
Helbig, P. (2012), Is there a flatness problem in classical cosmology?. Monthly Notices of the Royal Astronomical Society, 421: 561–569. doi: 10.1111/j.1365-2966.2011.20334.x
- Issue published online: 6 MAR 2012
- Article first published online: 9 FEB 2012
- Accepted 2011 December 5. Received 2011 December 4; in original form 2011 November 27
- cosmological parameters;
- cosmology: theory
I briefly review the flatness problem within the context of classical cosmology and examine some of the debate in the literature with regard to its definition and even the question whether it exists. I then present some new calculations for cosmological models which will collapse in the future; together with previous work by others for models which will expand forever, this allows one to examine the flatness problem quantitatively for all cosmological models. This leads to the conclusion that the flatness problem does not exist, not only for the cosmological models corresponding to the currently popular values of λ0 and Ω0 but indeed for all Friedmann–Lemaître models.