Black to white hole transition as a change of the topology of the event horizon

TL;DR

This paper demonstrates that the transition from black to white holes can be understood as a topological change in the event horizon, using cobordism theory to describe the full manifold involved.

Contribution

It provides a rigorous mathematical framework linking black-white hole transitions to topology changes in the event horizon using cobordism theory.

Findings

Black to white hole transition corresponds to a topology change.

Utilizes cobordism theory to model the full manifold of the transition.

Establishes a mathematical description of the transition process.

Abstract

We prove that the black to white hole transition theorized in several papers can be described as a change in the topology of the event horizon. We also show, using the theory of cobordism due to Milnor and Wallace, how to obtain the full manifold containing the transition.