Speaker
Description
Constraining inflationary flow equations with $n_s - 1 = -2/N$
Vineshree Pillay
University of Cape Town | vineshree.pillay013@gmail.com
Supervisor: Prof. Peter Dunsby
Abstract
This work presents an approach to inflationary cosmology that incorporates the spectral index relation $n_s - 1 = -2/N$ directly into the Hubble slow-roll hierarchy. Traditional methods treat slow-roll parameters as independent, potentially leading to trajectories inconsistent with CMB observations.
We use the spectral index as a constraint to determine the third slow-roll parameter $\lambda_3$ throughout the evolution, ensuring trajectories remain observationally consistent. The constrained system is implemented numerically and compared with standard approaches.
This method aims to provide a more reliable connection between theoretical inflation models and observational constraints while maintaining the full dynamical structure of flow equations.
Keywords: inflationary cosmology, slow-roll approximation, spectral index, numerical methods
