Home » 2014 Volume 9, 3. Relativity and gravitation, 4. Astrophysics, 5. Cosmology » TPAC: 4874-034 v1, Vol. 9, p. 1–4
May
06

A model of the closed universe gravitating in 4-space

 Zahid Zakir [1]

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,   6 May 2014

Online: TPAC: 4874-034 v1,  6 May 2014;   DOI: 10.9751/TPAС.4874-034


[1] Centre for Theoretical Physics and Astrophyics, Tashkent, Uzbekistan

      zahidzakir@theor-phys.org

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