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Some solutions of Einstein's equations with viscous fluids

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Abstract

If we admit the bulk and shear viscosity coefficients to be homogeneous in all the stages of the cosmic evolution and the fact that these can be expressed in terms of the metric coefficients, we obtain some cosmological models that are exact solutions of Einstein's equations. The metric utilized is the one of Szekeres's class II and the curvature source is a viscous fluid without heat flux.

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Motta, D.C., Tomimura, N.A. Some solutions of Einstein's equations with viscous fluids. Astrophys Space Sci 165, 237–242 (1990). https://doi.org/10.1007/BF00653293

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