TL;DR
This paper explores a class of rotating Ricci-flat cylindrically symmetric spacetimes where free particles form jets along the rotation axis, acting as natural gravitomagnetic accelerators with particles approaching light speed.
Contribution
It introduces a new class of exact solutions demonstrating gravitomagnetic jets, showing how spacetime geometry can naturally accelerate particles to relativistic speeds.
Findings
Particles form helical jets along the rotation axis.
Jets act as attractors with particles approaching the speed of light.
Spacetime regions function as natural gravitomagnetic accelerators.
Abstract
We study a simple class of time-dependent rotating Ricci-flat cylindrically symmetric spacetime manifolds whose geodesics admit gravitomagnetic jets. The helical paths of free test particles in these jets up and down parallel to the rotation axis are analogous to those of charged particles in a magnetic field. The jets are attractors. The jet speed asymptotically approaches the speed of light. In effect, such source-free spacetime regions act as "gravitomagnetic accelerators".
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