The Maxwell and Proca equations in spaces with torsion

Nonlinear equations are derived for mass as well as massless vector fields in a Riemann space, where nonlinearity is induced by the interaction of these fields with individual irreducible parts of the torsion tensor. It is shown that in the simplest cases these equations are exactly solvable for an electromagnetic field, while a mass field is described by a number of interesting equations, in particular the sinh-Gordon equation, which has soliton solutions.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 28–32, January, 1982.