Abstract
I SHOW here that for any ɛ>0 it is possible for a magnetic field to hold plasma in equilibrium at a radius r0 = rg(1+ɛ) relative to a Schwarzschild black hole of (radius rg) and that this equilibrium need not be subject to the kind of relativistic instability that destroys circular orbits of radius r<3rg. (Putting c = G = 1, rg = 2M is the radius of the event horizon of a hole of mass M.) Astrophysical plausibility does not stop ɛ from being much smaller than unity.
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References
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ZNAJEK, R. On being close to a black hole without falling in. Nature 262, 270–271 (1976). https://doi.org/10.1038/262270a0
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DOI: https://doi.org/10.1038/262270a0
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