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From Non-trivial Geometries to Power Spectra and Vice Versa
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We review a recent formalism which derives the functional forms of the primordial -- tensor and scalar -- power spectra of scalar potential inflationary models. The formalism incorporates the case of geometries with non-constant first slow-roll parameter. Analytic expressions for the power spectra are given that explicitly display the dependence on the geometric properties of the background. Moreover, we present the full algorithm for using our formalism, to reconstruct the model from the observed power spectra. Our techniques are applied to models possessing "features" in their potential with excellent agreement.
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Cited by 2 Pith papers
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Inverse-Scattering Reconstruction of Inflation from Scalar and Tensor Primordial Spectra
An inverse-scattering method reconstructs inflationary potentials from primordial power spectra using Jost functions derived from the Mukhanov-Sasaki equation.
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The Inflaton Effective Potential for General $\epsilon$
The one-loop inflaton effective potential in a general slow-roll FRW background depends locally on H and ε with a residual nonlocal contribution, and the Friedmann equations are generalized to actions depending on H and ε.
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