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Phys. Rev. D 52, 1963–1969 (1995)

Extrinsic time in quantum cosmology

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S. C. Beluardi
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina

Rafael Ferraro
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón, I, 1428 Buenos Aires, Argentina
Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina

Received 13 February 1995; published in the issue dated 15 August 1995

Extrinsic time is identified in most isotropic and homogeneous cosmological models by matching it with the ideal clock—a parametrized system whose only ‘‘degree of freedom’’ is time. Once this matching is established, the cosmological models are quantized in the same way as the ideal clock. The space of solutions of the Wheeler-DeWitt equation is turned into a Hilbert space by inserting a time-dependent operator in the inner product, yielding a unitary theory equivalent to the phase-space-reduced theory.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.52.1963
DOI:
10.1103/PhysRevD.52.1963
PACS:
98.80.Hw, 04.20.Cv