Multidimensional gravity with higher derivatives and inflation

Abstract

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.

12 pages

References in corpus (5)

• Introduction to Effective Field Theory
• Inhomogeneous baryogenesis, cosmic antimatter, and dark matter
• Diversity of universes created by pure gravity
• Constrained potential method for false vacuum decays
• AdS non-linear curvature-squared and curvature-quartic multidimensional (D=8) gravitational models with stabilized extra dimensions

Cited by in corpus (6)

• Noncompactified Kaluza--Klein Gravity
• Gravity with Higher Derivatives in D-Dimensions
• A trial to understand the supersymmetry relations through extension of the second quantized fermion and boson fields, either to strings or to odd dimensional spaces
• Spontaneous branes formation
• Sub-Planckian scale and limits for $f(R)$ models
• Formation and evolution of a 2-brane structure in multidimensional $f(R)$ gravity