Quantum Oppenheimer–Snyder–Swiss Cheese model

Abstract

The quantum Oppenheimer–Snyder (qOS) model in loop quantum cosmology is combined with the quantum Swiss Cheese (qSC) model. While in the qOS model, the interior Ashtekar–Pawlowski–Singh (APS) semiclassical metric is joined to an exterior static spherically symmetric metric, in the qSC model an exterior APS metric is joined to an interior spherically symmetric metric. The qOS model represents a deformed Schwarzschild black hole containing a collapsing APS ball. On the other hand, the qSC describes a deformed Schwarzschild black hole surrounded by a quantum-modified Friedmann–Robertson–Walker universe i.e., APS metric. In this Letter, we apply the concept of the Thin-Shell Wormhole (TSW) to combine the two individual models in a single model that is called the quantum Oppenheimer–Snyder–Swiss Cheese (qOSSC) model. Unlike qOS and qSC, in which the interior and exterior metrics are glued smoothly without an energy–momentum tensor on the interface hypersurface, in the qOSSC model there exists an exotic surface fluid on the throat which satisfies a dark energy equation of state. The dynamic of the throat is investigated, and the universe may bounce from the minimum radius without forming a black hole.