Warping Wormholes with Dust: a Metric Construction of the Python's Lunch

TL;DR

This paper constructs and analyzes a new class of three-dimensional wormhole solutions in general relativity using dust matter, exploring their geometric and holographic properties, including the novel Python's Lunch geometry.

Contribution

It introduces a large class of wormhole solutions in (2+1)-dimensional gravity with dust, and constructs a Python's Lunch geometry with a size maximum in the middle.

Findings

Wormholes can be warped using pressureless dust in 3D gravity.

The solutions exhibit interesting holographic properties such as entanglement measures.

A new Python's Lunch geometry with a central size maximum is demonstrated.

Abstract

We show how wormholes in three spacetime dimensions can be customizably warped using pressureless matter. In particular, we exhibit a large new class of solutions in (2+1)-dimensional general relativity with energy-momentum tensor describing a negative cosmological constant and positive-energy dust. From this class of solutions, we construct wormhole geometries and study their geometric and holographic properties, including Ryu-Takayanagi surfaces, entanglement wedge cross sections, mutual information, and outer entropy. Finally, we construct a Python's Lunch geometry: a wormhole in asymptotically anti-de Sitter space with a local maximum in size near its middle.