Abstract
We show explicitly how the E model attractor is obtained from the general scalar-tensor theory of gravity with arbitrary conformal factors in the strong coupling limit. By using conformal transformations, any attractor with the observables ns and r can be obtained. The existence of attractors imposes a challenge to distinguish different models.
Highlights
The Planck measurements of the cosmic microwave background anisotropies give the scalar spectral tilt ns = 0.968 ± 0.006 and the tensor to scalar ratio r0.002 < 0.11(95%C.L.)[1, 2]
We show that in the strong coupling limit ξ 1, any attractor is possible for the nonminimal coupling ξ f (φ)R with an arbitrary coupling function f (φ) [20]
If we insist on using the Higgs field to realize the inflation, we need to introduce the nonminimal coupling
Summary
The above relation between ns and N can be generalized to the parametrization of the observables in terms of N and used to reconstruct inflationary potential [8,9,10,11,12,13,14,15,16,17,18,19]. In this talk, we show that in the strong coupling limit ξ 1, any attractor is possible for the nonminimal coupling ξ f (φ)R with an arbitrary coupling function f (φ) [20].
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