Quantum creation of an Inhomogeneous universe

TL;DR

This paper explores a modified inhomogeneous cosmological model with compact surfaces, analyzing classical and quantum aspects, and proposes a simplified model for studying universe creation via tunneling.

Contribution

It introduces a new inhomogeneous cosmological model based on a modified Lemaître-Tolman framework and presents a simplified quantizable version to study universe creation.

Findings

Classical analysis of inhomogeneous spacetime models.

Proposal of a simplified quantum model for universe creation.

Discussion of tunneling events leading to universe formation.

Abstract

In this paper we study a class of inhomogeneous cosmological models which is a modified version of what is usually called the Lema\^itre-Tolman model. We assume that we have a space with 2-dimensional locally homogeneous spacelike surfaces. In addition we assume they are compact. Classically we investigate both homogeneous and inhomogeneous spacetimes which this model describe. For instance one is a quotient of the AdS$_4$ space which resembles the BTZ black hole in AdS$_3$. Due to the complexity of the model we indicate a simpler model which can be quantized easily. This model still has the feature that it is in general inhomogeneous. How this model could describe a spontaneous creation of a universe through a tunneling event is emphasized.