Classical and quantum (2+1)-dimensional spatially homogeneous string cosmology

TL;DR

This paper presents classical and quantum solutions for (2+1)-dimensional string cosmology, exploring their implications for singularity avoidance through semiclassical analysis.

Contribution

It introduces new families of classical and quantum solutions to (2+1)-dimensional string cosmology, incorporating quantum symmetry considerations and semiclassical analysis.

Findings

Quantum solutions suggest potential singularity avoidance.

Classical solutions include dilaton and B-field contributions.

Quantum symmetry equations enrich the solution space.

Abstract

We introduce three families of classical and quantum solutions to the leading order of string effective action on spatially homogeneous $(2+1)$-dimensional space-times with the sources given by the contributions of dilaton, antisymmetric gauge $B$-field, and central charge deficit term $\Lambda$. At the quantum level, solutions of Wheeler-DeWitt equations have been enriched by considering the quantum versions of the classical conditional symmetry equations. Concerning the possible applications of the obtained solutions, the semiclassical analysis of Bohm's mechanics has been performed to demonstrate the possibility of avoiding the classical singularities at the quantum level.