Inflation in F(R) gravity models revisited after ACTстатья
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Дата последнего поиска статьи во внешних источниках: 15 апреля 2026 г.
Аннотация:The F(R) gravity models of inflation are revisited in light of the recent observations of cosmic microwave background radiation by Atacama Cosmology Telescope (ACT) and DESI Collaboration. A detailed study of the evolution equations in the Jordan frame is given and a new description of the slow-roll approximation in the F(R)-gravity-based models of inflation is proposed. It is found that all those models of inflation are significantly constrained by demanding a higher (than the Planck Telescope value) cosmological tilt n_s of scalar perturbations and a positive running index α_s favored by ACT. It is not difficult to meet the ACT constraints on the scalar tilt ns by modifying the existing models of inflation, but simultaneously demanding a positive running α_s would rule out many of them. Using the proposed slow-roll approximation in the Jordan frame, we provide a new modification of the Starobinsky inflation model in the framework of F(R) gravity, which satisfies all ACT constraints. An extension of our ACT-consistent inflation model to the unified F(R)-gravity description of Starobinsky-like inflation and production of primordial black holes on a smaller scale is also proposed.