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Phys. Rev. D 39, 2875–2881 (1989)

Consistency of quantum cosmology for models of plane symmetry

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Takayuki Matsuki
Stanford Linear Accelerator Center, P.O. Box 4349, Stanford, California 94309

Beverly K. Berger
Department of Physics, Oakland University, Rochester, Michigan 48309

Received 1 August 1988; published in the issue dated 15 May 1989

The consistency of a D-dimensional quantum cosmology with (D-2)-dimensional plane symmetry is studied. For this class of models, it is shown that the effective Lagrangian in a minisuperspace for the D-dimensional Einstein Lagrangian has a form closely related to that for the bosonic string theory. In a restricted class of models, it has exactly the same form as that for the bosonic string theory, from which it is derived that the maximum number of space-time dimensions in the quantized model must be D=29.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.39.2875
DOI:
10.1103/PhysRevD.39.2875
PACS:
98.80.Dr, 04.60.+n, 11.17.+y