Magnetic Field and Gravitational Torsion Field of Rotating Relativistic Uniform System

Vector potentials of electromagnetic and gravitational fields of uniformly rotating relativistic uniform system of charged particles are calculated. With the help of these potentials, magnetic field inside and outside the system is found in an explicit form, as well as torsion field of gravitational field within the framework of covariant theory of gravitation. High accuracy of calculations is achieved due to use of spherical vector polynomials. The results obtained take into account not only particles’ velocity arising from rotation of the system as a whole, but also internal random velocity of the system’s particles according to relativistic uniform model. Thus, it becomes possible to estimate contribution of proper motion of the system’s charged particles to generation of magnetic field and torsion field. Such contribution is specific to relativistic uniform system and is absent in classical uniform system.