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

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

2000-05-10

arxiv.org/abs/gr-qc/0005036v1

Class.Quant.Grav. 17 (2000) 4357-4364

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, LaTeX

Scientific paper

10.1088/0264-9381/17/21/301

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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