On space-like geodesics in two special gravitational fields

Astronomy and Astrophysics – Astronomy

Scientific paper

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Circular Orbits, Geodesic Lines, Gravitational Fields, Particle Trajectories, Relativistic Particles, Tachyons, Black Holes (Astronomy), Cylindrical Bodies, High Gravity Environments

Scientific paper

Studies are presented of spacelike geodesics in the fields of a charged mass point and an uncharged static cylinder. For the first case, it is shown that circular spacelike trajectories are unstable with respect to radial perturbations for a physically plausible situation. For the second case, it is shown that no trajectories in the r-phi plane satisfy the conditions of stability.

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