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

TL;DR

This paper investigates how the form of the dilatonic potential influences the quantum creation and stabilization of a dilatonic Anti-de Sitter universe, highlighting the potential for quantum effects to stabilize such cosmological models.

Contribution

It introduces a detailed analysis of the role of dilatonic potential in quantum stabilization of AdS universe using anomaly-induced actions and numerical solutions.

Findings

Dilatonic potential affects quantum stability of AdS universe.

Quantum effects can lead to the creation of a stable dilatonic AdS universe.

Numerical solutions demonstrate specific conditions for stabilization.

Abstract

Quantum effects lead to the annihilation of AdS Universe when dilaton is absent. We consider here the role of the form for the dilatonic potential in the quantum creation of a dilatonic AdS Universe and its stabilization. Using the conformal anomaly for dilaton coupled scalar, the anomaly induced action and the equations of motion are obtained. Using numerical methods the solutions of the full theory which correspond to quantum-corrected AdS Universe are given for a particular case of dilatonic potential.