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Analytic solutions for the Bianchi I universe coupled to several barotropic perfect fluids

Analytic solutions for the Bianchi I universe coupled to several barotropic perfect fluids

We consider the Bianchi I geometry coupled to several species of comoving barotropic perfect fluids with a linear equation of state in the context of general relativity. The solution of the dynamics can be reduced to a quadrature, which can be explicitly performed in certain cases. In particular, we obtain …