BTZ Black-bounce to Traversable Wormhole

TL;DR

This paper explores the properties of BTZ black-bounce solutions, revealing how the bounce parameter influences thermodynamics, stability, and the necessity of exotic matter in wormhole configurations.

Contribution

It introduces charged and uncharged BTZ black-bounce solutions, analyzing their thermodynamics, stability, and the role of the bounce parameter in phase transitions.

Findings

Uncharged case: temperature unaffected by bounce parameter.

Charged case: bounce parameter induces phase transition.

Unstable orbits in uncharged case; stable orbits in charged case.

Abstract

In this paper, we study the charged and uncharged BTZ counterpart of the Black-Bounce proposed by Simpson and Visser recently. For the uncharged case, we find that the temperature is not modified by the bounce parameter. We also find that the wormhole side of the solution must always be supported by exotic matter over the throat. For the charged case we find that the thermodynamics is changed and the bounce parameter controls a phase transition, affecting the sign of the heat capacity and therefore the stability of the system. For the uncharged case, we find that there are no stable orbits for both massive and massless incoming particles while stable orbits are present for the charged case and the bounce parameter affects the points of stability.