F(R) gravity and inflation

Abstract: In this short review, we revisit inflation in F(R)-gravity. We find several F(R)-models for viable inflation by applying some reconstruction techniques. A special attention is payed in the reproduction of the last Planck satellite data. The possible generalizations of Starobinsky- like inflation are found and discussed. The early-time acceleration is analyzed in a higher- derivative quantum gravitational model which mainly reduces to F(R)-gravity.