Five-dimensional cosmological models with viscous fluid in Wesson's theory

Statistics – Computation

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Astronomical Models, Computational Astrophysics, Cosmology, Viscous Fluids, Gravitation Theory, Matter (Physics)

Scientific paper

The implications of the rest-mass-varying theory of gravity proposed by Wesson (1983) for homogeneous anisotropic five-dimensional cosmological models containing a fluid with bulk viscosity are investigated theoretically. Solutions are obtained for an equation of state p = (lambda)(rho) with lambda = 1 (stiff-fluid), 0 (matter-dominated), or 1/3 (radiation-dominated) and shown to be generalizations of the results of Gron (1985 and 1988) for the case of a perfect fluid. In these models, spontaneous compactification of the extra dimension (isotropization) is observed, and the presently observed invariance of the rest mass of an isolated particle is attributed to a decrease in the rate of rest-mass change with time.

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