Anisotropic cosmological model in a new scalartensor theory.
Abstract
We study a stiff fluid Bianchi typeI cosmological model in a scalartensor theory proposed by Schmidt et al (1981), where the gravitational constant depends on the strength of the scalar field. Near the singularity the matter density goes to infinity at a faster rate than the amount of shear, which itself becomes infinitely large at this limit. Exact solutions in some special cases are obtained. It is found that at least in these cases there cannot be any lower bound to the spatial volume and the singularity is unavoidable.
 Publication:

General Relativity and Gravitation
 Pub Date:
 April 1985
 DOI:
 10.1007/BF00759680
 Bibcode:
 1985GReGr..17..371B
 Keywords:

 Anisotropic Fluids;
 Astronomical Models;
 Cosmology;
 Gravitation Theory;
 Gravitational Constant;
 Scalars;
 Singularity (Mathematics);
 SpaceTime Functions;
 Tensors;
 Astrophysics;
 Cosmology:Bianchi Models;
 Gravitation Theory:Singularities