A Review on attempts to propose alternative theories to the General Relativity is presented.
The restriction is on classical models/theories and comprise rather algebraic extensions of …

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 …

An extension to the Einstein–Cartan (EC) action is discussed in terms of cosmological
solutions. The torsion incorporated in the EC Lagrangian is assumed to be totally anti …

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

A model of inflation realization driven by fermions with curvature-dependent mass is studied.
Such a term is derived from the covariant canonical gauge theory of gravity (CCGG) …

The covariant canonical gauge theory of gravity is generalized by including at the
Lagrangian level all possible quadratic curvature invariants. In this approach, the covariant …

We generalize Koopman–von Neumann classical mechanics to poly symplectic fields and
recover De Donder–Weyl's theory. Compared with Dirac's Hamiltonian density, it inspires a …

First, we propose a scale-invariant modified gravity interacting with a neutral scalar inflaton
and a Higgs-like SU (2)× U (1) iso-doublet scalar field based on the formalism of non …

The cosmological implications of the covariant canonical gauge theory of gravity (CCGG)
are investigated. We deduce that, in a metric-compatible geometry, the requirement of …

We derive the interaction of fermions with a dynamical space–time based on the postulate
that the description of physics should be independent of the reference frame, which means …