Singularity-Free Collapse through Local Inflation

Abstract

In common relativistic models of gravitational collapse, the interior experiences a bubble-like local inflation, allowing radii to diverge rather than converge toward a singularity. This proves a conjecture of Shatskiy. At the horizon, the solution locally resembles the neck of a wormhole from the exterior to the interior. The implied limiting curvature is at the horizon not the Planck level.

11 pages. Paper prepared in honor of the retirement of L.R. King. This version shortens introduction