Einstein Gravity with Non-minimally Coupled Scalar Fields

Abstract

A Huggins term has been introduced to the Hilbert-Einstein model and its effect on the scale factor, a scalar field and Hubble parameter has been studied numerically. By comparing the result of a non-zero and a zero coupling constant a considerable effect of the Huggins term has been found to be a smoothing of the Hubble parameter. For different sets of initial conditions the scale factor is calculated and used to determine the evolution of the Universe.