Derives circularity and marginal stability conditions for charged particles in weakly magnetized Taub-NUT spacetime and finds that magnetic field strength monotonically decreases the ISCO radius with charge-dependent branch ordering.
Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times
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abstract
We present the complete set of analytical solutions of the geodesic equation in Taub-NUT space-times in terms of the Weierstrass elliptic function. We systematically study the underlying polynomials and characterize the motion of test particles by its zeros. Since the presence of the "Misner string" in the Taub-NUT metric has led to different interpretations, we consider these in terms of the geodesics of the space-time. In particular, we address the geodesic incompleteness at the horizons discussed by Misner and Taub, and the analytic extension of Miller, Kruskal and Godfrey, and compare with the Reissner-Nordstr\"om space-time.
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gr-qc 1years
2026 1verdicts
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Equatorial Circular Motion of Charged Test Particles in a Weakly Magnetized Taub--NUT Background
Derives circularity and marginal stability conditions for charged particles in weakly magnetized Taub-NUT spacetime and finds that magnetic field strength monotonically decreases the ISCO radius with charge-dependent branch ordering.