Fourth-order gravity as the inflationary model revisited

Details Fourth-order gravity as the inflationary model revisited Fourth-order gravity as the inflationary model revisited

2010-01-28

arxiv.org/abs/1001.5118v5

Mod.Phys.Lett.A25:2753-2762,2010

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure, 1 table, LaTeX; few comments added, style improved, references added and updated

Scientific paper

10.1142/S0217732310033918

We revisit the old (fourth-order or quadratically generated) gravity model of Starobinsky in four space-time dimensions, and derive the (inflaton) scalar potential in the equivalent scalar-tensor gravity model via a Legendre-Weyl transform. 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 scalar-tensor gravity theories.

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