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We investigate the geodesics’ kinematics and dynamics in the Linet–Tian metric with $$\Lambda <0$$ Λ < 0 and compare with the results for the Levi–Civita metric, when $$\Lambda =0$$ Λ = 0 . This is used to derive new stability results about the geodesics’ dynamics in static vacuum cylindrically symmetric spacetimes with respect to the introduction of $$\Lambda <0$$...
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