A new symmetry of the spatially flat Einstein-Friedmann equations

Abstract

We report a new symmetry of the Einstein-Friedmann equations for spatially flat Friedmann- Lemaître-Robertson-Walker universes. We discuss its application to barotropic perfect fluids and its use as a solution-generating technique for scalar field universes.

arXiv comment7 pages, no figures

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• New analytic solutions in $f\left(R\right)$-Cosmology from Painlevé analysis
• Variational symmetries and superintegrability in multifield cosmology