Stringy Quantum Cosmology of the Bianchi Class a

TL;DR

This paper develops an exact quantum cosmology model within string theory for Bianchi class A universes, revealing solutions that behave like quantum wormholes and tend toward isotropy at large scales.

Contribution

It provides a unified exact solution for all Bianchi class A types in string quantum cosmology, including generalizations for types VI_0 and VII_0, and analyzes their physical implications.

Findings

Exact solutions for all Bianchi class A types

Wavefunction localization around isotropic universes

Interpretation of solutions as quantum wormholes

Abstract

The quantum cosmology of the string effective action is considered within the context of the Bianchi class A minisuperspace. An exact unified solution is found for all Bianchi types and interpreted physically as a quantum wormhole. The solution is generalized for types ${\rm VI_0}$ and ${\rm VII_0}$. The Bianchi type IX wavefunction becomes increasingly localized around the isotropic Universe at large three-geometries.