Dynamics of Dissipative Gravitational Collapse in the Morris-Thorne Wormhole Metric: One Scenario -- Several Outcomes

TL;DR

This paper explores the dynamic evolution of Morris-Thorne wormholes under gravitational collapse with heat flow, revealing multiple possible outcomes including black holes, oscillating wormholes, and universe-like states.

Contribution

It presents new collapse solutions for Morris-Thorne wormholes with heat flow, classifying their end states and analyzing their physical and dynamical properties.

Findings

Collapse to black holes occurs in finite time with zero proper volume.

Solutions include oscillating wormhole-black hole pairs and universe-like states.

All solutions are supported by detailed graphical analysis.

Abstract

We consider the dynamical Morris-Thorne metric with radiating heat flow. By matching the interior Morris-Thorne metric with an exterior Vaidya metric we trace out the collapse solutions for the corresponding spherically symmetric inhomogeneous distribution of matter. The solutions obtained are broadly of four different types, giving different end state dynamics. Corresponding to three of the solutions we elaborate the collapsing dynamics of the Morris-Thorne type evolving wormhole. We show that for all those cases where collapse upto zero proper volume is obtained in finite time, the ensuing singularity is always a black hole type. However our solutions can also show other end states, like oscillating wormhole-black hole pair or infinite time contracting universe or a conformal past matter dominated universe. In all the cases we have worked out the background dynamics and physics of the solution. All our solutions are illustrated with appropriate graphical descriptions.