Abstract
In this study, we consider a flat Friedmann-Robertson-Walker (FRW) universe in the context of Palatini f(R) theory of gravity. Using the dynamical equivalence between f(R) gravity and scalar-tensor theories, we construct a point Lagrangian in the flat FRW spacetime. Applying Noether gauge symmetry approach for this f(R) Lagrangian we find out the form of f(R) and the exact solution for cosmic scale factor. It is shown that the resulting form of f(R) yield a power-law expansion for the scale factor of the universe.
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Kucukakca, Y., Camci, U. Noether gauge symmetry for f(R) gravity in Palatini formalism. Astrophys Space Sci 338, 211–216 (2012). https://doi.org/10.1007/s10509-011-0921-5
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DOI: https://doi.org/10.1007/s10509-011-0921-5