Fourth-order gravity as the inflationary model revisited

Sho Kaneda, Sergei V. Ketov, Natsuki Watanabe

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)


We revisit the old (fourth-order or quadratically generated) gravity model of Starobinsky in four spacetime dimensions, and derive the (inflaton) scalar potential in the equivalent scalartensor gravity model. The inflaton scalar potential is used to compute the (CMB) observables of inflation, associated with curvature perturbations (namely, the scalar and tensor spectral indices, and the tensor-to-scalar ratio), including the new next-to-leading order terms with respect to the inverse number of e-foldings. The results are compared to the recent (WMAP5) experimental bounds. We confirm both mathematical and physical equivalence between f(R) gravity theories and the corresponding scalartensor gravity theories.

Original languageEnglish
Pages (from-to)2753-2762
Number of pages10
JournalModern Physics Letters A
Issue number32
Publication statusPublished - 20 Oct 2010


  • Cosmology
  • inflation
  • modified gravity
  • spectral index

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics

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