A spatially-flat cosmological model

Details A spatially-flat cosmological model A spatially-flat cosmological model

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.204..317i&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 204, no. 2, p. 317-327.

Mathematics

14

Astronomical Models, Big Bang Cosmology, Gravitation, Relativity, Entropy, Singularity (Mathematics)

Scientific paper

Recently, a homogeneous cosmological model free from singularities was proposed, based on the general relativity theory. It described a closed universe (k = +1), initially filled with prematter, characterized by a density rho equal to the Planck density and a pressure P = -rho, and undergoing oscillations. In the present work, the case of a similar, but spatially flat, universe (k = 0) is investigated. In this case there is an initial geometric singularity (the scale factor R = 0), but not a physical one, since the initial density is finite. This universe begins its existence at a time t = - infinity and, after going through the prematter and radiation-dominated eras, reaches the matter-dominated state and continues to expand indefinitely.

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