Unifying the Early-time Inflation with Late-time Dark Energy epoch: the Case of Modified Gravity
The review of modified gravity to describe the consistent universe history from inflation till dark energy era is given. The main attention is paid to F(R) gravity. It is shown the possibility to take into account quantum gravity effects within this approach. Autonomous dynamical system approach in F(R) gravity is developed. The possibility of constant-roll inflation as the element of unified inflation with dark energy in modified gravity is demonstrated. Some simple applications of modified gravity are discussed.