Static Einstein's Universe as a Quantum Solution of Causal Quantum Gravity

TL;DR

This paper demonstrates that within Bohmian quantum gravity, a pure quantum state can produce a static Einstein universe, matching a flat spacetime classical solution, with both approximate and exact solutions provided.

Contribution

It introduces a novel quantum solution in Bohmian gravity that results in a static Einstein universe, extending understanding of quantum cosmological models.

Findings

Pure quantum state yields static Einstein universe

Solution obtained in both approximate and exact forms

Classical counterpart is flat spacetime

Abstract

We shall in the framework of Bohmian quantum gravity show that it is possible to find a {\it pure} quantum state which leads to the static Einstein universe whose classical counterpart is flat space--time. We obtain the solution not only in the long--wavelength approximation but also exactly.