Cosmological inflation in the modified gravity model f(Q,C)

Abstract

Slow-roll parameters play a crucial role in characterizing the behavior of the inflation field during inflation. This paper provide an overview of the topic and highlight various aspects of the connection between cosmological inflation and slow-roll parameters. We also discussed the implications of perturbation growth in modified cosmology, numerical simulations of inflationary dynamics, and the study of inflation in the context of non-metric gravity $f(Q,C)$. The choice of $f(Q,C)$ as the background gravitational theory is motivated by its ability to incorporate non-metricity, its potential to address conceptual difficulties in quantizing gravity and its relevance to cosmology and late-time acceleration of the universe. Additionally, we mention the importance of accurately estimating cosmological parameters from observational data. Overall, we studied the relationship between cosmological inflation and slow-roll parameters, contributing to our understanding of the dynamics and implications of inflation in the early universe according to the modified gravity model $f(Q,C)$.