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Semiclassical approach to stability of the extra-dimensional spaces in higher-curvature gravity theories

Yasuo Ezawa-+, Masahiro Kajihara-+, Masahiko Kiminami-+, Jiro Soda++ and Tadashi Yano§

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The stability of the extra-dimensional spaces in higher-curvature gravity theories is investigated using the semiclassical approximation to the Wheeler-DeWitt equation. It is shown that, if there exists only one internal space, the space is stable under a certain condition.


PACS

04.60.Ds Canonical quantization

04.50.-h Higher-dimensional gravity and other theories of gravity

98.80.Qc Quantum cosmology

04.25.-g Approximation methods; equations of motion

MSC

83F05 Cosmology

83Exx Unified, higher-dimensional and super field theories

83C25 Approximation procedures, weak fields

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 6 (June 1999)

Received 19 October 1998, in final form 16 March 1999



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