Mathematics
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..371b&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 17, April 1985, p. 371-380. Research supported by Coordenacao do Aperf
Mathematics
3
Anisotropic Fluids, Astronomical Models, Cosmology, Gravitation Theory, Gravitational Constant, Scalars, Singularity (Mathematics), Space-Time Functions, Tensors
Scientific paper
A stiff-fluid Bianchi type I cosmological model is studied in a scalar-tensor 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) these cannot be any lower bound to the spatial volume, and the singularity is unavoidable.
Banerjee Anindita
de Oliveira K. G. A.
Santos Nilton O.
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