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Quantum cosmology of 5D non-compactified Kaluza-Klein theory

F. Darabi·W. N. Sajko·P. S. Wesson
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Abstract

We study the quantum cosmology of a five dimensional non-compactified Kaluza-Klein theory where the 4D metric depends on the fifth coordinate, $x^4\equiv l$. This model is effectively equivalent to a 4D non-minimally coupled dilaton field in addition to matter generated on hypersurfaces l=constant by the extra coordinate dependence in the four-dimensional metric. We show that the Vilenkin wave function of the universe is more convenient for this model as it predicts a new-born 4D universe on the $l\simeq0$ constant hypersurface.

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F. Darabi, W. N. Sajko, P. S. Wesson. 2000-05-10. Quantum cosmology of 5D non-compactified Kaluza-Klein theory. https://doi.org/10.1088/0264-9381%2F17%2F21%2F301

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