Classical and quantum wormholes in a flat $\Lambda$-decaying cosmology

TL;DR

This paper investigates classical and quantum wormholes within a flat Euclidean cosmological model that includes matter and dark energy, demonstrating their existence and consistency with quantum gravity conjectures.

Contribution

It provides the first analysis of classical and quantum wormholes in a flat mbda-decaying cosmology, linking classical solutions with quantum wave functions.

Findings

Classical wormholes exist in the model.

Quantum wormholes satisfy the Hawking-Page conjecture.

Quantum solutions are consistent with the Wheeler-DeWitt equation.

Abstract

We study the classical and quantum wormholes for a flat {\it Euclidean} Friedmann-Robertson-Walker metric with a perfect fluid including an ordinary matter source plus a source playing the role of dark energy (decaying cosmological term). It is shown that classical wormholes exist for this model and the quantum version of such wormholes are consistent with the Hawking-Page conjecture for quantum wormholes as solutions of the Wheeler-DeWitt equation.