Home
For authors
Submission status

Current
Archive
Archive (English)
   Volumes 21-40
   Volumes 1-20
   Volumes 41-62
      Volume 62
      Volume 61
      Volume 60
      Volume 59
      Volume 58
      Volume 57
      Volume 56
      Volume 55
      Volume 54
      Volume 53
      Volume 52
      Volume 51
      Volume 50
      Volume 49
      Volume 48
      Volume 47
      Volume 46
      Volume 45
      Volume 44
      Volume 43
      Volume 42
      Volume 41
Search
VOLUME 57 (1993) | ISSUE 1 | PAGE 3
From instantons to inflationary universe
The present paper is based on a theory which includes gravity and a complex scalar field.1 In such a theory it is possible to analyze the evolution from instantons in the classically forbidden (Euclidean) region in minisuperspace to the inflationary universe in the classically allowed (Minkowski) region. The characteristics for the Hamilton-Jacobi equation, which define the action in the quasiclassical approximation, are described by four first-order differential equations. This four-dimensional dynamical system was integrated numerically. In the closed Euclidean region two types of instantons were found. It is shown that the instantons correspond to extremal trajectories. The existence of two types of instantons gives rise to different possibilities for tunneling from Euclidean region to Minkowski region and for creation of inflationary universes.