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Multidimensional gravity with higher derivatives and inflation

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arxiv 1911.03695 v1 pith:IKJPKQKT submitted 2019-11-09 gr-qc astro-ph.COhep-th

Multidimensional gravity with higher derivatives and inflation

classification gr-qc astro-ph.COhep-th
keywords gravityinflationmodelmultidimensionalricciscalartermsvalues
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We elaborate on the inflationary model starting from multidimensional Lagrangian and gravity with second-order curvature terms. The effective scalar field is related to the Ricci scalar of extra dimensions. It is shown that the Kretschmann and the Ricci tensor square terms dominate during inflation. The observable values of the spectral index and the tensor-to-scalar ratio are obtained for specific values of the model parameters.

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