# Particles on the rotating channels in the wormhole metrics

## TL;DR

This paper investigates the motion of particles along curved, rotating channels in Ellis-Bronnikov wormhole metrics, revealing conditions under which particles can escape the wormhole, with analytical and numerical analyses in 2D and 3D.

## Contribution

It introduces a method to analyze particle trajectories on twisted, rotating channels in wormhole metrics, showing new escape conditions not present in straight trajectories.

## Key findings

- Particles on twisted channels can asymptotically reach infinity, escaping the wormhole.
- Straight co-rotating trajectories do not allow particles to leave the wormhole.
- Analytical and numerical solutions are provided for 2D and 3D cases.

## Abstract

In the Ellis-Bronnikov wormhole (WH) metrics the motion of a particle along curved rotating channels is studied. By taking into account a prescribed shape of a trajectory we derive the reduced $1+1$ metrics, obtain the corresponding Langrangian of a free particle and analytically and numerically solve the corresponding equations of motion. We have shown that if the channels are twisted and lag behind rotation, under certain conditions beads might asymptotically reach infinity, leaving the WH, which is not possible for straight co-rotating trajectories. The analytical and numerical study is performed for two and three dimensional cases and initial conditions of particles are analysed in the context of possibility of passing through the WH.