We derive the global dynamic properties of mMKG system (Maxwell coupled with a massive Klein-Gordon scalar field) general class data, in particular, for Maxwell field arbitrary size, and by gauge independent method. Due to critical slow decay expected field, exhibits loss at causal infinities within an outgoing null cone. To overcome difficulty caused such energy propagation, we uncover hidden ...

A large family of noncommutative Einstein-Maxwell null pp -waves to order one in the noncommutativity parameters is constructed. They are solutions to the Einstein and field equations for general relativity coupled to a Seiberg-Witten electromagnetic field. Noncommutativity enters the spacetime metric through a conformal factor and is responsible for dilating/contracting the separation between ...

We show that the main properties of fracton quasiparticles can be derived from a generalized covariant Maxwell-like action. Starting rank-2 symmetric tensor field ${A}_{\ensuremath{\mu}\ensuremath{\nu}}(x)$, we build partially rank-3 strength ${F}_{\ensuremath{\mu}\ensuremath{\nu}\ensuremath{\rho}}(x)$ which obeys kind Bianchi identity. The most general action invariant under ``fracton'' transf...

Maxwell equations are the basis of the theory of electromagnetic fields. In the stationary case they split into independent problems for electric and magnetic fields. For the electric field in conductive media electrical conductivity problem is formulated, and in insulators the problem of electrostatics is formulated. Equations for stationary problems are of elliptic type, whereas in general th...

The constrained structure of the duality invariant form of Maxwell theory is considered in the Hamiltonian formulation of Dirac as well as from the symplectic viewpoint. Compared to the former the latter approach is found to be more economical and elegant. Distinctions from the constrained analysis of the usual Maxwell theory are pointed out and their implications are also discussed. e-mail: ra...