Viable wormhole solution in Bopp-Podolsky electrodynamics

TL;DR

This paper derives an approximate spherically symmetric wormhole solution within Bopp-Podolsky electrodynamics, constrained by observational data from Sagittarius A*'s shadow, suggesting the theoretical viability of such wormholes.

Contribution

It introduces a new parameter in Bopp-Podolsky electrodynamics and demonstrates its compatibility with observational data through a wormhole solution.

Findings

The wormhole solution is consistent with the shadow of Sagittarius A*.

A new parameter from the Lagrangian was constrained by observational data.

The solution is viable within the linear approximation used.

Abstract

Following a recent approach in which the gravitational field equations in curved spacetimes were presented in the Bopp--Podolsky electrodynamics, we obtained an approximate and spherically symmetric wormhole solution in this context. The calculations were carried out up to the linear approximation in both the spacetime geometry and the radial electric field. The solution presents a new parameter that comes from the Lagrangian of the model. Such a parameter was constrained by using the shadow radius of Sagittarius A*, recently revealed by the Event Horizon Telescope Collaboration. Remarkably, the wormhole presented here is viable when its shadow is compared to the Sagittarius A* shadow.