
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".
4 pages, 2 figures; v2: reference added; v3: slightly expanded version accepted for publication in Phys. Lett. A
High Energy Physics - Theory, High Energy Astrophysical Phenomena (astro-ph.HE), Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory, FOS: Physical sciences, Equations of motion in general relativity and gravitational theory, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), high energy astrophysical phenomena, Astrophysics, 530, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Quantum theory, General relativity (Physics), Astrophysics - High Energy Astrophysical Phenomena
High Energy Physics - Theory, High Energy Astrophysical Phenomena (astro-ph.HE), Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory, FOS: Physical sciences, Equations of motion in general relativity and gravitational theory, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), high energy astrophysical phenomena, Astrophysics, 530, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Quantum theory, General relativity (Physics), Astrophysics - High Energy Astrophysical Phenomena
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