Open AccessThe R-W Metric Has No Constant Curvature When Scalar Factor R(t) Changes with Time
Author(s) -
Mei Xiaochun
Publication year - 2011
Publication title -
international journal of astronomy and astrophysics
Language(s) - English
Resource type - Journals
eISSN - 2161-4725
pISSN - 2161-4717
DOI - 10.4236/ijaa.2011.14023
Subject(s) - physics , scalar curvature , curvature , metric (unit) , cosmology , dark energy , scalar (mathematics) , constant (computer programming) , mathematical physics , current (fluid) , cosmological constant , theoretical physics , quantum mechanics , geometry , mathematics , thermodynamics , operations management , computer science , economics , programming language
The true meaning of the constant in the Robertson-Walker metric is discussed when the scalar factor s the function of time. By strict calculation based on the Riemannian geometry, it is proved that the spatial curvature of the R-W metric is K=(κ-R2)/R2 . The result indicates that the R-W metric has no constant curvature when R(t)≠0 and κ is not spatial curvature factor. We can only consider κ as an adjustable parameter with κ≠0 in general situations. The result is completely different from the current understanding which is based on the precondition that the scalar factor R(t) is fixed. Due to this result, many conclusions in the current cosmology such as the densities of dark material and dark energy should be re-estimated. In this way, we may overcome the current puzzling situation of cosmology thoroughly