Study of Noether symmetry analysis for a cosmological model with variable G and $$\Lambda $$ gravity theory

Abstract

AbstractIn this present model we have discussed about the solution of the matter-dominated cosmological equations using the expression of $$\Lambda =\Lambda (G)$$ Λ = Λ ( G ) . Using Noether symmetry analysis we have analyzed both the classical and quantum cosmology. We have made a suitable point transformation in order to make one variable cyclic. As a result the evolution equations become simpler to solve. Wheeler–DeWitt (WD) equation has been constructed for this cosmological model and using conserved charge we have found the solution of WD equation. Finally the solutions have been analyzed in the cosmological point of view.