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Phys. Rev. D 32, 2485–2488 (1985)

Path-integral quantum cosmology. II. Bianchi type I with volume-dependent source

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Beverly K. Berger
Department of Astronomy, University of Michigan, Ann Arbor, Michigan 48109 and Physics Department, Oakland University, Rochester, Michigan 48063

Received 28 August 1984; published in the issue dated 15 November 1985

The Feynman path-integral formalism is applied to the degrees of freedom of the fluid-filled Kasner (and related) cosmological models. The measure constructed for the vacuum analysis is used to effect the Arnowitt-Deser-Misner reduction to dynamical degrees of freedom within the functional integral. The Hankel transform of the minisuperspace transition amplitude is obtained. A perturbation expansion about the classical vacuum solution is presented.

© 1985 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.32.2485
DOI:
10.1103/PhysRevD.32.2485
PACS:
04.60.+n, 98.80.Dr

See Also

See Also: Beverly K. Berger and Craig N. Vogeli, Path-integral quantum cosmology. I. Vacuum Bianchi type I, Phys. Rev. D 32, 2477 (1985).