NONPERTURBATIVE ANALYSIS OF INFLATIONARY COSMOLOGICAL MODEL WITH MINIMAL COUPLING, NONMINIMAL COUPLING, AND NONMINIMAL DERIVATIVE COUPLING FORM HORNDESKI THEORY

• Main Author: Raihan Mohammad, Hammam
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/49711
• Institution: Institut Teknologi Bandung

Inflation is a promising theory that solves various problems in standard cosmology, mainly, horizon problem, flatness problem, and initial condition problem. At first inflationary theory developed over scalar field with potential which satisfies slow-roll condition. However, the determination of the shape of the potential gives rise to finetuning problem. In this research, we have constructed an inflationary model without scalar field potential from minimal coupling, nonminimal coupling, and nonminimal derivative coupling based on Horndeski’s theory. And then, we find its field equations for flat Robertson-Walker metric. After that, we solve the field equations numerically to get the evolution of scale factor, which depends on the value of the coupling constants of the nonminimal and nonminimal derivative term. The result is that this model doesn’t produce exponential expansion of scale factor, although it still produces scale factor expansion.