Does Quantum Cosmology Predict a Constant Dilatonic Field?

Details Does Quantum Cosmology Predict a Constant Dilatonic Field? Does Quantum Cosmology Predict a Constant Dilatonic Field?

2004-04-07

arxiv.org/abs/gr-qc/0404034v1

Int.J.Mod.Phys. D14 (2005) 291-308

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex file, 14 pages

Scientific paper

10.1142/S0218271805005955

Quantum cosmology may permit to determine the initial conditions of the Universe. In particular, it may select a specific model between many possible classical models. In this work, we study a quantum cosmological model based on the string effective action coupled to matter. The Schutz's formalism is employed in the description of the fluid. A radiation fluid is considered. In this way, a time coordinate may be identified and the Wheeler-DeWitt equation reduces in the minisuperspace to a Schr\"odinger-like equation. It is shown that, under some quite natural assumptions, the expectation values indicate a null axionic field and a constant dilatonic field. At the same time the scale factor exhibits a bounce revealing a singularity-free cosmological model. In some cases, the mininum value of the scale factor can be related to the value of gravitational coupling.

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