The Schrodinger Wave Functional and Vacuum States in Curved Spacetime

TL;DR

This paper advances the Schrödinger picture approach to vacuum states in curved spacetime, providing solutions for various spacetime types and linking particle creation to the wave functional kernel.

Contribution

It introduces general solutions for vacuum wave functionals in static, dynamic, and conformally static spacetimes, expanding the theoretical framework.

Findings

Solutions for vacuum wave functionals in different spacetime geometries

Connection between particle creation and the kernel of the wave functional

Application to simple cosmological models with time-dependent metrics

Abstract

The Schrodinger picture description of vacuum states in curved spacetime is further developed. General solutions for the vacuum wave functional are given for both static and dynamic (Bianchi type I) spacetimes and for conformally static spacetimes of Robertson-Walker type. The formalism is illustrated for simple cosmological models with time-dependent metrics and the phenomenon of particle creation is related to a special form of the kernel in the vacuum wave functional.