Field Strengths in Rotating Relativistic Uniform System

In vector field theory, calculating the energy of a rotating body requires using components of four-potentials and field tensors. In this connection, the scalar potentials and strengths of electromagnetic and gravitational fields, acceleration fields and pressure fields are calculated for the case of the relativistic uniform spherical system consisting of charged particles rotating with a constant angular velocity. The calculation method is based on the use of spherical vector polynomials associated with Legendre polynomials. It is shown that in a rotating system the same relation holds between field coefficients as in a stationary system. The rotation leads to new relativistic effects, in which directions of force lines of field strengths begin to deviate from the purely radial directions of rotating sphere. In addition, the scalar potentials of electromagnetic and gravitational fields in the center of the sphere and beyond the sphere increase in absolute value, as do the scalar potentials of acceleration field and pressure field in the center of the sphere. The Lorentz factor of particles moving in the center of the sphere also increases. The indicated effects were discovered due to the fact that the calculation method allows achieving high accuracy.