Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics
Scientific paper
2009-12-11
Class.Quant.Grav.27:245001,2010
Astronomy and Astrophysics
Astrophysics
Cosmology and Extragalactic Astrophysics
19 pages, 4 figures; v2: minor language improvements; v3: generalisation: m, H functions of M
Scientific paper
10.1088/0264-9381/27/24/245001
Compact, flat Friedmann-Lemaitre-Robertson-Walker (FLRW) models have recently regained interest as a good fit to the observed cosmic microwave background temperature fluctuations. However, it is generally thought that a globally, exactly-flat FLRW model is theoretically improbable. Here, in order to obtain a probability space on the set F of compact, comoving, 3-spatial sections of FLRW models, a physically motivated hypothesis is proposed, using the density parameter Omega as a derived rather than fundamental parameter. We assume that the processes that select the 3-manifold also select a global mass-energy and a Hubble parameter. The inferred range in Omega consists of a single real value for any 3-manifold. Thus, the obvious measure over F is the discrete measure. Hence, if the global mass-energy and Hubble parameter are a function of 3-manifold choice among compact FLRW models, then probability spaces parametrised by Omega do not, in general, give a zero probability of a flat model. Alternatively, parametrisation by the injectivity radius r_inj ("size") suggests the Lebesgue measure. In this case, the probability space over the injectivity radius implies that flat models occur almost surely (a.s.), in the sense of probability theory, and non-flat models a.s. do not occur.
Blanloeil Vincent
Roukema Boudewijn F.
No associations
LandOfFree
A measure on the set of compact Friedmann-Lemaitre-Robertson-Walker models 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 A measure on the set of compact Friedmann-Lemaitre-Robertson-Walker models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A measure on the set of compact Friedmann-Lemaitre-Robertson-Walker models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-468710