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Higher-order modified Starobinsky inflation

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Iop Publishing Ltd

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Abstract

An extension of the Starobinsky model is proposed. Besides the usual Starobinsky Lagrangian, a term proportional to the derivative of the scalar curvature, del R-mu del R-mu, is considered. The analyzis is done in the Einstein frame with the introduction of a scalar field and a vector field. We show that inflation is attainable in our model, allowing for a graceful exit. We also build the cosmological perturbations and obtain the leading-order curvature power spectrum, scalar and tensor tilts and tensor-to-scalar ratio. The tensor and curvature power spectrums are compared to the most recent observations from BICEP2/Keck collaboration. We verify that the scalar-to-tensor rate r can be expected to be up to three times the values predicted by Starobinsky model.

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cosmological perturbation theory, inflation, modified gravity

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English

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Journal Of Cosmology And Astroparticle Physics. Bristol: Iop Publishing Ltd, n. 2, 34 p., 2019.

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