The covariant canonical gauge theory of gravity (CCGG) is a gauge field formulation of
gravity which a priori includes non-metricity and torsion. It extends the Lagrangian of …

We review in simple terms the covariant approaches to the canonical formulation of classical
relativistic field theories (in particular gauge field theories and general relativity) and we …

We study a cosmological model based on the canonical Hamiltonian transformation theory.
Using a linear-quadratic approach for the free gravitational De Donder–Weyl …

In this paper, the generic part of the gauge theory of gravity is derived, based merely on the
action principle and on the general principle of relativity. We apply the canonical …

The De Donder-Weyl (DW) Hamiltonian theory of fields treats space and time variables on
equal footing. Its quantization, called precanonical quantization, leads to a hypercomplex …

We address the Hamiltonian formulation of classical gauge field theories while putting
forward results some of which are not entirely new, though they do not appear to be well …

This paper is devoted to the analysis of the covariant canonical formalism of F (R) gravity in
Einstein frame. We also find canonical transformation between covariant canonical …

A challenging issue in General Relativity concerns the determination of the manifestly
covariant continuum Hamiltonian structure underlying the Einstein field equations and the …

The implications of the general covariance principle for the establishment of a Hamiltonian
variational formulation of classical General Relativity are addressed. The analysis is …

A non-perturbative quantum field theory of General Relativity is presented which leads to a
new realization of the theory of covariant quantum gravity (CQG-theory). The treatment is …