The relativistic rotation transformation and pulsar electrodynamics

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Electrodynamics, Lorentz Transformations, Pulsar Magnetospheres, Pulsars, Relativistic Effects, Stellar Rotation, Astronomical Models, Corotation, Cosmology, Magnetohydrodynamics, Relativistic Velocity

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The substitution of the relativistic rotation transformation (RRT) of Trocheris and Takeno to the Galilean type one, establishing a nonlinear relation between speed v and angular velocity omega (upsilon = c tanh (omega/c)), not only sends to infinity the 'light cylinder' and modifies the characteristic parameters of pulsars within the corotating source model (Kichenassamy & Krikorian 1991), but also circumvents the change of type of the differential equations for the electromagnetic potential 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 meaningless.

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