TIME IN THE CHAOTIC INFLATION MODEL AND NUMERICAL-CALCULATIONS

The time variable is considered in the quantum gravity theory and calc ulated explicitly in the framework of the chaotic inflationary scenari o where the scalar matter field has a contribution to the time variabl e in addition to the gravity field. The time formulated under the semi classical approximation is a natural extension of that in the classica l orbital motion. A perturbation method is introduced in terms of the scalar mass to obtain analytically solvable expressions for the time. The Wheeler-DeWitt equation is solved numerically to ensure that the s emiclassical approximation is well justified. We examine the obtained time in detail and find that it is reasonable to consider it as time i n the region where the semiclassical approximation is well justified.