Does Quantum Cosmology Predict a Constant Dilatonic Field?

Abstract

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 Schrödinger-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.

Latex file, 14 pages

References in corpus (5)

• The Pre-Big Bang Scenario in String Cosmology
• Quantum cosmological perfect fluid models
• Troubles with quantum anistropic cosmological models: Loss of unitarity
• Regular cosmological solutions in low energy effective action from string theories
• Quantum cosmological perfect fluid model and its classical analogue

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• Classical Universe Arising from Quantum Cosmology
• Dilaton Quantum Cosmology with a Schrodinger-like equation
• Experimental and Theoretical Evidence for Extended Particle Models