Constraints on Tensor to Scalar Ratio using WKB Approximation

Abstract

Using Wenzel-Kramers-Brillouin (WKB) approximation the scalar and tensor power spectra are obtained. Scale invariant spectra are obtained and the spectral indices come very close to the observed data from WMAP and Planck experiments. The advantage of this method is that, it is valid even when slow-roll approximation fails. Constraints on the tensor to scalar ratio r is also studied with the WKB Approximation. We use the Power law inflation as the base model as it allows comparison with exact results.