Zero-curvature FRW models and Bianchi I space-time as solutions of the same equation
We show that the condition of isotropy of pressure in the case of Bianchi I space-time filled with a perfect fluid reduces via a suitable scale transformation to a linear second-order differential equation, which admits as particular solutions those of Friedmann, Robertson, and Walker. These particular solutions are then used for generating many new local rotational symmetry Bianchi I solutions. Some of their physical properties are then studied.
scientific article; zbMATH DE number 4007188