Steepest-descent contours in the path-integral approach to quantum cosmology. Part 3. A general method with applications to anisotropic minisuperspace models.

Statistics – Applications

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Scientific paper

This paper is the third of a series concerned with the contour of integration in the path-integral approach to quantum cosmology. The authors describe a general method for the approximate evaluation of the path integral for spatially homogeneous minisuperspace models. The method also proves to be useful for finding and studying the complex solutions to the Einstein equations that inevitably arise as saddle-points. The method is applied to a class of anisotropic minisuperspace models, namely Bianchi type I and III, and the Kantowski-Sachs model.

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