From black hole to white hole via thin-shell wormhole

Abstract

Motivated by developments in Loop Quantum Cosmology (LQC) and quantum-corrected black holes, we propose a cosmological black/white hole model in which a traveler can enter a black hole and emerge from a white hole without ever encountering a singularity. Our construction is based on the Reissner-Nordstr & ouml;m (RN) black hole, which naturally possesses a timelike singularity. By employing the thin-shell wormhole (TSW) formalism, we demonstrate how the interior can be surgically modified to connect a black hole region to a white hole region. We analyze the junction conditions and identify the exotic surface matter required at the throat. Furthermore, we investigate the stability of the throat under linear mechanical perturbations and show that stability is achievable for throat radii smaller than a critical value. Our results illustrate, at a phenomenological level, the feasibility of constructing nonsingular black/white hole transitions, shedding light on possible quantum-gravity inspired alternatives to classical singularities.