Abstract
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.
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Hajj-Boutros, J., Sfeila, J. Zero-curvature FRW models and Bianchi I space-time as solutions of the same equation. Int J Theor Phys 26, 97–103 (1987). https://doi.org/10.1007/BF00672395
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DOI: https://doi.org/10.1007/BF00672395