An overview of the cosmological models with expansion, shear and rotation is presented. Problems of the rotating models are discussed, their general kinematic properties and dynamical realizations… (More)

The Maxwell equations are formulated in a generally covariant and metric-free way in 1+3 and subsequently in 4 dimensions. For this purpose, we use the excitations D, H and the field strengths E,B. A… (More)

In the gauge theory of gravity based on the Poincaré group (the semidirect product of the Lorentz group and the spacetime translations) the mass (energy-momentum) and the spin are treated on an equal… (More)

Coulomb comes in quanta, weber may come in quanta. – We will base classical electrodynamics on electric charge conservation, the Lorentz force, and on magnetic flux conservation. This yields the… (More)

In order to settle the problem of the “Post constraint” in material media, we consider the propagation of a plane electromagnetic wave in a medium with a piecewise constant axion field. Although a… (More)

A variational theory of a continuous medium is developed the elements of which carry momentum and hypermomentum (hyperfluid). It is shown that the structure of the sources in metric-affine gravity is… (More)

The gravitational effects in the relativistic quantum mechanics are investigated. The exact Foldy-Wouthuysen transformation is constructed for the Dirac particle coupled to the static spacetime… (More)

The translational Chern-Simons type three-form coframe ∧ torsion on a Riemann-Cartan spacetime is related (by differentiation) to the Nieh-Yan four-form. Following Chandia and Zanelli, two spaces… (More)

Models of black holes in (1 + 1)-dimensions provide a theoretical laboratory for the study of semi-classical e ects of realistic black holes in Einstein's theory. Important examples of… (More)

We discuss the electromagnetic energy-momentum distribution and the mechanical forces of the electromagnetic field in material media. There is a long-standing controversy on these notions. The… (More)