Role of the Dilatonic potential to the Quantum stabilization of dilatonic Anti-de Sitter Universe

摘要

Quantum effects lead to the annihilation of AdS Universe when dilaton isabsent. We consider here the role of the form for the dilatonic potential inthe quantum creation of a dilatonic AdS Universe and its stabilization. Usingthe conformal anomaly for dilaton coupled scalar, the anomaly induced actionand the equations of motion are obtained. Using numerical methods the solutionsof the full theory which correspond to quantum-corrected AdS Universe are givenfor a particular case of dilatonic potential.