Mathematics – Mathematical Physics
Scientific paper
Jun 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jmp....36.3054m&link_type=abstract
Journal of Mathematical Physics, Vol. 36, No. 6, p. 3054 - 3062
Mathematics
Mathematical Physics
2
Universe: Space-Time
Scientific paper
The field equations governing Bianchi type I space-times having elastic media as sources are constructed. Such equations turn out to be a system of three ordinary differential equations for the three independent components of the gravitational field. Plane symmetric and Robertson-Walker space-times are also discussed, and some examples of solutions are given. In the Robertson-Walker case, it turns out that it is possible to "tune" the elastic constitutive equations in such a way that any "required" behavior of the scale factor may be obtained. This feature closely resembles the scalar-field dominated case.
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