# Quantum cosmology for non-minimally coupled scalar field in FLRW space-time: A symmetry analysis

## TL;DR

This paper explores quantum cosmology with a non-minimally coupled scalar field in FLRW spacetime, using symmetry analysis to derive solutions of the Wheeler-DeWitt equation through conserved currents.

## Contribution

It introduces a symmetry-based approach to solve the Wheeler-DeWitt equation in non-minimal scalar field cosmology, linking Lie symmetries to conformal algebra.

## Key findings

- Wheeler-DeWitt equation constructed for the model
- Lie point symmetries related to conformal algebra identified
- Solutions obtained via conserved currents of Noether symmetries

## Abstract

The present work deals with quantum cosmology for non-minimally coupled scalar field in the background of FLRW space--time model. The Wheeler-DeWitt equation is constructed and symmetry analysis is carried out. The Lie point symmetries are related to the conformal algebra of the minisuperspace while solution of the Wheeler-DeWitt equation is obtained using conserved currents of the Noether symmetries.