Traversable Wormholes Construction in (2+1) Gravity

TL;DR

This paper reviews wormholes in gravity theories, then constructs two traversable wormhole solutions in (2+1)-dimensional gravity with negative cosmological constant, linking them to BTZ black holes and analyzing exotic matter distribution.

Contribution

It introduces new explicit traversable wormhole solutions in (2+1) gravity with negative cosmological constant, connecting them to BTZ black holes and examining exotic matter requirements.

Findings

Constructed two traversable wormhole solutions in (2+1) gravity.

Linked wormhole geometries to BTZ black hole exterior.

Analyzed the distribution of exotic matter needed for stability.

Abstract

Wormholes have been always an interesting object in gravity theories. In this paper we make a little review of the principal properties of these objects and the exotic matter they need to exist. Then, we obtain two specific solutions in the formalism of (2+1)-dimensional gravity with negative cosmological constant. The obtained geometries correspond to traversable wormholes with an exterior geometry correspondient to the well known BTZ black hole solution. We also discuss the distribution of exotic matter that these wormholes need.