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Phys. Rev. D 46, 4758–4760 (1992)

Midisuperspace-induced corrections to the Wheeler-DeWitt equation

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Francisco D. Mazzitelli
International Centre for Theoretical Physics, P.O. Box 586, 34100 Trieste, Italy

Received 26 May 1992; published in the issue dated 15 November 1992

We consider the midisuperspace of four-dimensional spherically symmetric metrics and the Kantowski-Sachs minisuperspace contained in it. We discuss the quantization of the midisuperspace using the fact that the dimensionally reduced Einstein-Hilbert action becomes a scalar-tensor theory of gravity in two dimensions. We show that the covariant regularization procedure in the midisuperspace induces modifications into the minisuperspace Wheeler-DeWitt equation. The results apply to any scalar-tensor theory of gravity in two dimensions.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.46.4758
DOI:
10.1103/PhysRevD.46.4758
PACS:
04.60.+n