Generalized covariant gyrokinetic dynamics of magnetoplasmas

A basic prerequisite for the investigation of relativistic astrophysical magnetoplasmas, occurring typically in the vicinity of massive stellar objects (black holes, neutron stars, active galactic nuclei, etc.), is the accurate description of single‐particle covariant dynamics, based on gyrokinetic theory (Beklemishev et al., 1999–2005). Provided radiation‐reaction effects are negligible, this is usually based on the assumption that both the space‐time metric and the EM fields (in particular the magnetic field) are suitably prescribed and are considered independent of single‐particle dynamics, while allowing for the possible presence of gravitational/EM perturbations driven by plasma collective interactions which may naturally arise in such systems. The purpose of this work is the formulation of a generalized gyrokinetic theory based on the synchronous variational principle recently pointed out (Tessarotto et al., 2007) which permits to satisfy exactly the physical realizability condition for the four‐vel...