We discuss gauge theories of scale invariance beyond the Standard Model (SM) and
Einstein gravity. A consequence of gauging this symmetry is that their underlying 4D …

The geometric trinity of gravity comprises three distinct formulations of general relativity:(i)
the standard formulation describing gravity in terms of spacetime curvature,(ii) the …

Finsler differential geometry enables enriched mathematical and physical descriptions of the
mechanics of materials with microstructure. The first propositions for Finsler geometry in …

This Thesis is devoted to the study of Metric-Affine Theories of Gravity and Applications to
Cosmology. The thesis is organized as follows. In the first Chapter we define the various …

In the conventional formulation of general relativity, gravity is represented by the metric
curvature of Riemannian geometry. There are also alternative formulations in flat affine …

We consider the effects of Weyl geometry on the propagation of electromagnetic wave
packets and on the gravitational spin Hall effect of light. It is usually assumed that in vacuum …

The present paper is intended to show the close interrelationship between non-linear
models of solids, produced with additive manufacturing, and models of solids with …

The Lagrangian approach for modeling of relativistic elastic solid with distributed defects is
developed. The influence of defects on stress-strain state of the solid is taken into account …

The utility of the notion of generalized disclinations in materials science is discussed within
the physical context of modeling interfacial and bulk line defects like defected grain and …

Abstract We consider a Weyl–Lorentz-U (1)-invariant gravity model written in terms of a
scalar field, electromagnetic field and nonmetricity without torsion and curvature, the so …