Cosmological constant from canonical transformation in quantum cosmology

Abstract

We explore the introduction of the cosmological constant via canonical transformations in cosmology. We consider the Wheeler-DeWitt equation for the cold dark matter (CDM) universe and we construct the Hamilton-Jacobi action for the ΛCDM model, where Λ is the cosmological constant. We discuss how this approach allows us to relate different physical systems, providing insights into the role of the cosmological constant in cosmology. More precisely the de Sitter universe emerges from the vacuum solution of the spatially flat Friedmann–Lemaître–Robertson–Walker geometry under the application of canonical transformations within quantum cosmology.