The relativistic Boltzmann equation and the equations of magnetohydrodynamics with radiative reaction

The relativistic collisionless Boltzmann equation with radiative reaction is derived from the conservation of the number of particles in the reduced six-dimensional phase space. It is then written in a covariant form. By taking invariant moments of the Boltzmann equation, we obtain the system of equations for relativistic magnetohydrodynamics taking account of radiative reaction. (author)