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

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.

Noether Symmetry analysis in Chameleon Field Cosmology

“…. By imposing these symmetry constraints, the evolution equations of the physical system can either be solvable or simplified to a great extent [37,38].…”

“…Furthermore, from Eq. (3) this symmetry criteria is associated with a constant of motion of the system [16,17,37]…”

“…The energy function (also known as Hamiltonian of the system) is a constant of motion provided there is no explicit time dependence in the Lagrangian [16,17,37]. Moreover, if the conserved current due to Noether symmetry has some physical meaning, [16,17,37] then symmetry analysis can identify reliable models.…”

“…The energy function (also known as Hamiltonian of the system) is a constant of motion provided there is no explicit time dependence in the Lagrangian [16,17,37]. Moreover, if the conserved current due to Noether symmetry has some physical meaning, [16,17,37] then symmetry analysis can identify reliable models. In the following, we shall show how symmetry analysis will simplify the present coupled cosmological model and as a result classical cosmological solutions can be obtained easily.…”