Wormhole Solutions in Gauss-Bonnet-Born-Infeld Gravity

TL;DR

This paper introduces a new class of non-singular, horizonless wormhole solutions in Gauss-Bonnet-Born-Infeld gravity, which can be supported by matter satisfying weak energy conditions and include rotating charged variants.

Contribution

It presents novel wormhole solutions in higher-dimensional gravity with nonlinear electromagnetic fields, including rotating cases with electric charge, and computes their conserved quantities.

Findings

No curvature singularity or horizon in the solutions

Rotating wormholes acquire a net electric charge proportional to rotation

Conserved quantities are calculated using the counterterm method

Abstract

A new class of solutions which yields an $(n+1)$-dimensional spacetime with a longitudinal nonlinear magnetic field is introduced. These spacetimes have no curvature singularity and no horizon, and the magnetic field is non singular in the whole spacetime. They may be interpreted as traversable wormholes which could be supported by matter not violating the weak energy conditions. We generalize this class of solutions to the case of rotating solutions and show that the rotating wormhole solutions have a net electric charge which is proportional to the magnitude of the rotation parameter, while the static wormhole has no net electric charge. Finally, we use the counterterm method and compute the conserved quantities of these spacetimes.