We present the basic prerequisites of electromagnetism in flat spacetime and provide description terms Faraday tensor. generalise electromagnetic theory to a general relativistic setting, introducing Einstein field equations describe propagation radiation curved space-time. investigate gravitational redshift derive formulae for combined effect Doppler shift spacetime.

The dual symmetry between electric and magnetic fields is an important intrinsic property of Maxwell equations in free space. This symmetry underlies the conservation of optical helicity and, as we show here, is closely related to the separation of spin and orbital degrees of freedom of light (the helicity flux coincides with the spin angular momentum). However, in the standard field-theory for...

If gravitation and electromagnetism are both described in terms of a symmetric metric tensor, then the deflection of an electron beam by a charged sphere should be different from its deflection according to the Reissner-Nordstrøm solution of General Relativity. If such a unified description is true, the equivalence principle for the electric field implies that the photon has a nonzero effective...

Electromagnetism can be generalized to Yang–Mills theory by replacing the group U(1) by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2-form electromagnetism to a kind of ‘higher-dimensional Yang–Mills theory’. It turns out that to do this, one should replace the Lie group by a ‘Lie 2-group’, which is a category C where the set of objects and the set o...

In a recent article Mr. Leigh Page' has generalized the electromagnetic equations by introducing the idea of a rotation of the field round a moving electric pole. A line of electric force is supposed to be the locus of points traveling with constant velocity, c, in directions which vary according to a law giving rise to three differential equations of type dl k d= c(f + vr wq) m(c2r gu + fv) + ...

We investigate the properties of non-linear electromagnetism based on the Born-Infeld Lagrangian in multi-dimensional theories of Kaluza-Klein type. We consider flat space-time solutions only, which means that the space-time metric is constant, and the only supplementary variable is the dilaton field, a scalar. We show that in the case of Kaluza-Klein theory, the Born-Infeld Lagrangian describe...

The possibility of an incompletness of the equations of electromagnetism is analyzed using a thought experiment that shows a non-physical behavior according to classical electromagnetism. Basically, from Maxwell equations it is shown that a particular passive, isolated circuit could present a growth of its currents. Resolution of this problem is sought within the context of the usual electromag...

Gravito-electromagnetism is somewhat ubiquitous in relativity. In fact, there are many situations where the effects of gravitation can be described by formally introducing ”gravito-electric” and ”gravito-magnetic” fields, starting from the corresponding potentials, in analogy with the electromagnetic theory[1],[2] (see also A. Tartaglia’s contribution to these proceedings). The ”many faces of g...