Remarks on the Wave Function of the Universe in the Dilaton Cosmology

Details Remarks on the Wave Function of the Universe in the Dilaton Cosmology Remarks on the Wave Function of the Universe in the Dilaton Cosmology

2006-07-27

arxiv.org/abs/gr-qc/0607127v1

J.Korean Phys.Soc. 49 (2006) 679-682

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, to appear in J. Kor. Phys. Soc

Scientific paper

Motivated by previous works, we study semi-classical cosmological solutions and the wave function of the Wheeler-DeWitt equation in the Bose-Parker-Peleg model. We obtain the wave function of the universe satisfying the suitable boundary condition of the redefined fields, which has not been considered in previous works. For some limiting cases, the Wheeler-DeWitt equation is reduced to the Liouville equation with a boundary, and its solution can be described by well-known functions. The consistent requirement of the boundary condition is related to the avoidance of the curvature singularity.

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