Instructive Properties of Quantized Gravitating Dust Shell

TL;DR

This paper explores the quantum behavior of a self-gravitating dust shell, revealing that its wave functions are not confined within the Schwarzschild radius and suggesting possible transformations into white holes or mass loss mechanisms.

Contribution

It introduces a quantum model for a self-gravitating dust shell and discusses novel phenomena like white hole transformation and mass emission beyond classical expectations.

Findings

Wave functions are not localized inside the Schwarzschild radius.

Shells can transform into white holes in another space.

Larger shells may lose mass by emitting lighter shells.

Abstract

We investigate quantum dynamics of self-gravitating spherical dust shell. The wave functions of discrete spectrum are not localized inside the Schwarzschild radius. We argue that such shells can transform into white holes (in another space). It is plausible that shells with bare masses larger than the Planck mass loose their mass emitting lighter shells.