The Schrodinger Wave Functional and Vacuum State in Curved Spacetime II. Boundaries and Foliations

TL;DR

This paper explores how spacetime boundaries and different foliation choices affect the vacuum wave functional in curved spacetimes, demonstrating physical quantities remain invariant despite these dependencies.

Contribution

It provides simple illustrative examples showing the influence of boundaries and foliation choices on the vacuum wave functional in curved spacetime.

Findings

Boundaries alter the vacuum wave functional.

Physical quantities are foliation-independent.

Examples clarify the impact of boundaries and foliations.

Abstract

In a recent paper, general solutions for the vacuum wave functionals in the Schrodinger picture were given for a variety of classes of curved spacetimes. Here, we describe a number of simple examples which illustrate how the presence of spacetime boundaries influences the vacuum wave functional and how physical quantities are independent of the choice of spacetime foliation used in the Schrodinger approach despite the foliation dependence of the wave functionals themselves.