WKB metastable quantum states of a de Sitter--Reissner-Nordstroem dust shell

TL;DR

This paper investigates the quantum states of a spherically symmetric dust shell separating de Sitter and extremal Reissner-Nordström spacetimes, extending previous methods to identify metastable WKB states in this gravitational setup.

Contribution

It introduces a method to determine metastable WKB quantum states of a dust shell in a combined de Sitter and Reissner-Nordström spacetime, advancing understanding of quantum gravitational systems.

Findings

Identification of metastable WKB quantum states.

Extension of previous methods to new spacetime configurations.

Potential insights into quantum properties of gravitational shells.

Abstract

We study the dynamics of a spherically symmetric dust shell separating two spacetime domains, the 'interior' one being a part of the de Sitter spacetime and the exterior one having the 'extremal' Reissner-Nordstroem geometry. Extending the ideas of previous works on the subject, we show that the it is possible to determine the (metastable) WKB quantum states of this gravitational system.