S. Kichenassamy et Ra. Krikorian, THE RELATIVISTIC ROTATION TRANSFORMATION AND PULSAR ELECTRODYNAMICS, The Astrophysical journal, 431(2), 1994, pp. 715-717
The substitution of the relativistic rotation transformation (RRT) of
Trocheris and Takeno to the Galilean type one, establishing a nonlinea
r relation between speed v and angular velocity omega [v = c tanh (ome
gar/c)], not only sends to infinity the ''light cylinder'' and modifie
s the characteristic parameters of pulsars within the corotating sourc
e model (Kichenassamy & Krikorian 1991), but also circumvents the chan
ge of type of the differential equations for the electromagnetic poten
tial when a quasi-static constraint is assumed; on the other hand, the
resulting equations for a force-free magnetosphere reduce to those of
Mestel, at the nonrelativistic approximation, when RRT reduces to the
usual ''instantaneous Lorentz transformation;'' indeed, difficulties
related to energy flow across the light cylinder become ipso facto mea
ningless.