TPAC: 4874-034, Vol. 9, No 1, p. 1–4
A model of the closed universe gravitating in 4-space
Abstract
Models of the closed Universe as a thin 3-sphere in 4-space, gravitating along 3-sphere’s radius, are reformulated in a new form, in which at a local environment of an observer the non-relativistic dynamics of a ball is reproduced with a correct energy conservation condition. Corresponding evolution equations for dust matter and radiation in the 3-sphere are obtained and their observational consequences are studied. It is shown that the closed models in 4-space also lead to the "Miniverse" model with a highly oscillating curve for the “distance modulus – redshift” relation.
PACS: 04.20.Cv, 98.80.-k, 98.80.Jk 95.30.Sf, 97.60.Lf, 98.35.Jk, 98.54.-h
Key words: cosmological models, redshift, extra dimension
Vol. 9, No 1, p. 1–4, v1; online v1, 6 May 2014, 6 May 2014.