In a Schwarzschild spacetime with a leading-dipole magnetic field, the inner stable charged-particle orbit first moves inward with magnetic coupling, then outward, with the limiting mode switching from radial to vertical instability.
The corresponding physical cyclic frequency is νθ = c3 2πGM⋆ ¯Ωθ = c 2πM ¯Ωθ,(79) where ¯Ωθ =MΩ θ andM=GM ⋆/c2
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
gr-qc 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
From St{\o}rmer to Schwarzschild: Analytical Dynamics of Charged Particles in a Dipole Magnetosphere
In a Schwarzschild spacetime with a leading-dipole magnetic field, the inner stable charged-particle orbit first moves inward with magnetic coupling, then outward, with the limiting mode switching from radial to vertical instability.