Nonsingular cosmological models in a scalartensor theory of gravity
Abstract
Several homogeneous and isotropic spacetime models free from singularities are discussed which were obtained on the basis of a gaugeinvariant fivedimensional theory of gravity. It is noted that when certain additional assumptions are made, this theory may be interpreted as a geometric variant of a JordanBransDicke type of scalartensor theory. The models discussed include a nonsingular closed isotropic model, a nonsingular open isotropic model, and open as well as closed models in which total mass is not conserved. Numerical values are derived for the critical density of the universe in each model.
 Publication:

Problemy Teorii Gravitatsii i Elementarnykh Chastits
 Pub Date:
 1975
 Bibcode:
 1975PrTGE...6..121A
 Keywords:

 Cosmology;
 Gravitation Theory;
 Mathematical Models;
 SpaceTime Functions;
 Universe;
 Einstein Equations;
 Isotropic Media;
 Numerical Analysis;
 Singularity (Mathematics);
 Tensors;
 Astrophysics