A wormhole geometry from gravitational collapse

TL;DR

This paper proposes a model where gravitational collapse of a NEC-violating fluid can avoid singularities and form a Lorentzian wormhole, using a dynamic spacetime inspired by the Simpson-Visser geometry.

Contribution

It introduces a novel dynamic wormhole formation scenario from gravitational collapse that avoids singularities, extending static wormhole models to time-evolving cases.

Findings

Collapse can lead to a wormhole without zero proper volume.

Geodesic analysis supports the non-singular evolution.

The model unifies black holes and wormholes in a dynamic framework.

Abstract

We discuss a proposal on how gravitational collapse of a NEC (Null Energy Condition) violating spherically symmetric fluid distribution can avoid the formation of a zero proper volume singularity and eventually lead to a Lorentzian wormhole geometry. Our idea is illustrated using a time-evolving wormhole spacetime in which, we show how a collapsing sphere may never reach a zero proper volume end-state. The nature of geodesic congruences in such spacetimes is considered and analyzed. Our construction is inspired from a recently proposed static wormhole geometry, the multi-parameter Simpson-Visser line element, which is known to unite wormholes and black holes (regular and singular) in a single framework.