Cosmological Constant from Equivalent Transformation in Quantum Cosmology

TL;DR

This paper investigates how equivalent transformations in quantum cosmology can introduce the cosmological constant, using the Wheeler-DeWitt equation and Hamilton-Jacobi formalism to relate different cosmological models.

Contribution

It presents a novel method to incorporate the cosmological constant via equivalent transformations in quantum cosmology, linking different physical systems.

Findings

Derived Hamilton-Jacobi action for $mbda$CDM model

Established relations between physical systems in cosmology

Provided insights into the role of the cosmological constant

Abstract

We explore the introduction of the cosmological constant via equivalent transformations in cosmology. We consider the Wheeler-DeWitt equation for the CDM universe and we construct the Hamilton-Jacobi action for the $\Lambda$CDM model. We discuss how this approach allows us to relate different physical systems, providing insights into the role of the cosmological constant in cosmology.