Quantum Oppenheimer-Snyder and Swiss Cheese models

TL;DR

This paper develops quantum models of black holes and cosmological structures using loop quantum cosmology, revealing lower mass bounds, spacetime extensions, and novel cosmological scenarios like quantum Swiss Cheese models.

Contribution

It introduces a quantum black hole model with a deformed Schwarzschild metric and a quantum Swiss Cheese cosmological model, expanding the understanding of quantum effects in gravitational collapse and universe formation.

Findings

Quantum effects set a lower mass limit for black holes.

Maximal spacetime extension properties are characterized.

A quantum Swiss Cheese model with a bubble universe is proposed.

Abstract

By considering the quantum Oppenheimer-Snyder model in loop quantum cosmology, a new quantum black hole model whose metric tensor is a suitably deformed Schwarzschild one is derived. The quantum effects imply a lower bound on the mass of the black hole produced by the collapsing dust ball. For the case of larger masses where the event horizon does form, the maximal extension of the spacetime and its properties are investigated. By discussing the opposite scenario to the quantum Oppenheimer-Snyder, a quantum Swiss Cheese model is obtained with a bubble surrounded by the quantum universe. This model is analogous to black hole cosmology or fecund universes where the big bang is related to a white hole. Thus our models open a new window to cosmological phenomenology.