Summary
We apply the so-called Nöther Symmetry Approach to a generic fourth-order theory of gravityf(R) to integrate the dynamics connected with the pointlike FRW cosmological Lagrangian. We get interesting results whenf(R)≽R 3/2, since in this case the equations of motion are exactly solvable and solutions are physically relevant.
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Capozziello, S., De Ritis, R. Nöther’s symmetries in fourth-order cosmologies. Nuov Cim B 109, 795–802 (1994). https://doi.org/10.1007/BF02722535
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DOI: https://doi.org/10.1007/BF02722535