Reconstruction of the Scalar Field Potential in Inflationary Models with a Gauss-Bonnet term [CL]

http://arxiv.org/abs/1610.04360


We study inflationary models with a Gauss-Bonnet term to reconstruct the scalar field potentials and the Gauss-Bonnet coupling functions from the observable quantities. Using the observationally favored relations for both $n_s$ and $r$, we derive the expressions for both the scalar field potentials and the coupling functions. The implication of the blue-tilted spectrum, $n_t>0$, of the primordial tensor fluctuations is discussed for the reconstructed configurations of the scalar field potential and the Gauss-Bonnet coupling.

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S. Koh, B. Lee and G. Tumurtushaa
Mon, 17 Oct 16
45/53

Comments: 13 pages, 6 figures