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f(R) gravity theories in the Palatini formalism has been recently used as analternative way to explain the observed late-time cosmic acceleration with noneed of invoking either dark energy or extra spatial dimension. However, itsapplications have shown that some subtleties of these theories need a moreprofound examination. Here we are interested in the conformal aspects of thePalatini approach in extended theories of gravity. As is well known,extremization of the gravitational action a la Palatini, naturally "selects" anew metric h related to the metric g of the subjacent manifold by a conformaltransformation. The related conformal function is given by the derivative off(R). In this work we examine the conformal symmetries of the flat (k=0) FLRWspacetime and find that its Conformal Killing Vectors are directly linked tothe new metric h and also that each vector yields a different conformalfunction.

Palatini approach to modified f(R) gravity and its bi-metric structure