Quantum stabilization of dilatonic Anti-de Sitter Universe

TL;DR

This paper investigates how quantum effects and dilatonic potentials influence the stability and quantum creation of Anti-de Sitter universes, highlighting the role of conformal anomalies and quantum corrections.

Contribution

It introduces a framework combining anomaly-induced actions with classical dilaton gravity to analyze quantum-corrected AdS universe solutions.

Findings

Quantum effects can stabilize dilatonic AdS universes.

The form of the dilatonic potential affects quantum creation.

Solutions depend on the specific dilatonic potentials considered.

Abstract

The possibility of quantum creation of a dilatonic AdS Universe is discussed.Without dilaton it is known that quantum effects lead to the annihilation of AdS Universe. We consider the role of the form for the dilatonic potential in the quantum creation of a dilatonic AdS Universe. Using the conformal anomaly for dilaton coupled scalar, the anomaly induced action and the equations of motion are obtained. The anomaly induced action is added to classical dilaton gravity action. The solutions of the full theory which correspond to quantum-corrected AdS Universe are given for number of dilatonic potentials.