Primordial perturbations and inflation in a holography inspired Gauss-Bonnet cosmology

Abstract

We consider an action for gravity that, in addition to the Einstein-Hilbert term, contains a function of the Ricci scalar and the Gauss-Bonnet invariant. The specific form of the function considered is motivated by holographic cosmology. At background level the field equations imply modified Friedmann equations of the same form as those in the holographic cosmology. We calculate the cosmological perturbations and derive the corresponding power spectra assuming a general $k$-inflation. We find that the resulting power spectra differ substantially from those obtained in both holographic and standard cosmology. The estimated spectral index and tensor-to-scalar ratio are confronted with the Planck results.

32 pages, 2 figures, major revision: introduction expanded, an algebraic mistake corrected, Sections III.A and III.B substantially revised, one figure added, basic conclusions unchanged, nine references added, Acknowledgments corrected, accepted in PRD

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Cited by in corpus (1)

• Scale-dependent gravity and covariant scale-setting