The spacetime of the metric-affine gauge theory of gravity (MAG) encompasses nonmetricity Qαβ and torsion T α as post-Riemannian structures. The sources of MAG are the conserved currents of… (More)

We review the application of torsion in field theory. First we show how the notion of torsion emerges in differential geometry. In the c ontext of a Cartan circuit, torsion is related… (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)

We present an exact stationary axially symmetric vacuum solution of metric-affine gravity (MAG) which generalises the recently reported spherically symmetric solution. Besides the metric, it carries… (More)

In the pseudo-Riemannian spacetime of general relativity theory, we can introduce at each point of spacetime a local vector basis or frame eα(x), with α, β, . . . = 0, 1, 2, 3. As already indicated… (More)

The irreducible decomposition technique is applied to the study of classical models of metric-affine gravity (MAG). The dynamics of the gravitational field is described by a 12-parameter Lagrangian… (More)

The Maxwell equations expressed in terms of the excitation IH = (H,D) and the field strength F = (E,B) are metric-free and require an additional constitutive law in order to represent a complete set… (More)

A closed explicit representation of the vacuum Einstein equations in terms of components of curvature 2-forms is given. The discussion is restricted to the case of non-vanishing cubic invariant of… (More)

The solutions of the Einstein-Maxwell-Chern-Simons theory are studied in (1+2) dimensions with the self-duality condition imposed on the Maxwell field. We give a closed form of the general solution… (More)