This thesis is mainly expository and all the chapters contains little bit original calculations. The title of this thesis is “STUDIES ON COSMOLOGICAL MODELS WITH INFLATION AND COUPLED OF SCALAR FIELD”. This thesis deals with -The Fundamental of General Relativity, On the cosmological models, Classical & Quantization problem, An exact scalar field inflationary cosmological model which solves Cosmological constant problem, The scalar field potential, Scalar field cosmology in phase space, Inflation in homogenous & isotropic space-time, Inflation in non-minimally coupled theories & inflation via modified gravity. We have seen that the Friedmann models, if they are regarded as physically valid, predict that the density of mass-energy must have been very high in the early epoch of the universe. We have studied about the inflationary universe which is the modification of the standard hot Big-Bang model and also the solution of the problems which arise in the FRW model. We find that over a broad range of initial conditions, the predicted value of the inflation driven by a scalar field, which must be coupled to the curvature if the Einstein equivalence principle has to be satisfied. In recent years, there have been some interests in studying the mathematical and physical interpretations of different models and theories of cosmology. The purpose of this research is firstly to study the physical and mathematical properties of the known solutions and secondly to attempt to find out new physically inserting solutions, with particular references.

TITLE - STUDIES ON COSMOLOGICAL MODELS WITH INFLATION AND COUPLED OF SCALAR FIELD
AUTHOR - RAJIB KARMAKER
••••••IJSER Edition - April 2017

UNIVERSITY - University of Chittagong
GUIDE NAME -
Dr. Abul Kalam Azad