INFLATION BY THE EINSTEIN SCALAR GAUSS-BONNET THEORY WITH INFLATION POTENTIAL AND METRIC PERTUBATIONS

• Main Author: Sambiri, Usman
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/49629
• Institution: Institut Teknologi Bandung

The theory of inflation is a theory that explain some cosmological problems. Various models of the theory of gravity are built to explain the theory of inflation. One of these models is Einstein’s theory which involves the Gauss-Bonnet tribe, scalar field and inflation potential. The focus in this research is to analyze on the early time dynamics where the Ricci scalar form can be ignored. The scalar field functions used are linear coupling function and quadratic coupling function, while the potential function chosen is V = 2. The inflation solutions calculated using metric nonpertubation are the scalar field, (t), scale factor (a(t)), Hubble parameter (H), and number of e-foldings (N). Solutions which are calculated exert the metric pertubations are (t) and (t) for scalar pertubation and h+ for tensor pertubation. The solutions obtained are scale factor and the scalar field changing exponentially , while number of e-foldings (N) changes linearly with time and becomes constant at a certain time. meanwhile, Hubble parameter (H) which is calculated changes in early time and then becomes constant for a certain time. moreover, the solution for the part of the scalar pertubation depends on the constant A required in this study. For A = 1, value of and obtained is divergent While for A = 0, value of obtained is convergent. Apart from scalar pertubation, other pertubation calculated is tensor pertubation. Solution for the tensor pertubation is h+ in which Value of h+ is Convergent and less than one..