The current status of the theory of a new astrophysical phenomenon, a
radiation-driven diskon, is outlined. The cyclotron radiation pressure
around sufficiently hot, strongly magnetized white dwarfs and neutron
stars is shown to be able to drive a wind from the photosphere and su
pport a plasma envelope in the closed part of the magnetosphere. The m
agnetohydrostatic configuration of an optically thin, radiatively supp
orted plasma envelope is determined. It consists of an equatorial disk
in the region where the cyclotron radiation force exceeds the local f
orce of gravity and a closed shell near the equilibrium surface where
the radiation pressure equals gravity. The effects of finite optical d
epth on the behaviour of the magnetospheric plasma and the influence o
f the envelope on the observed radiation are discussed. Classes of mag
netic degenerate stars are pointed out in which radiation-driven disko
ns may be found. The best candidates are two individual stars, the str
ongly magnetized white dwarfs GD 229 and PG 1031+234. Both exhibit bro
ad and deep depressions in the ultraviolet which are explained as a re
sult of cyclotron scattering by an optically thick radiation-driven en
velope in the inhomogeneous magnetic field of the star. We predict a t
emporal and spectral variability of these features due to non-stationa
ry plasma motions in the envelope.