We analyze non-minimally coupled scalar field theories in metric (second-order) and
Palatini (first-order) formalisms in a comparative fashion. After contrasting them in a general …

Our aim in this review paper is to present the applications of Connes' noncommutative
geometry to elementary particle physics. Whereas the existing literature is mostly focused on …

In the Higgs inflation scenario the Higgs field is strongly coupled to the Ricci scalar in order
to drive primordial inflation. However, in its original form in pure metric formulation of gravity …

We study a scale-invariant model of quadratic gravity with a nonminimally coupled scalar
field. We focus on cosmological solutions and find that scale invariance is spontaneously …

We consider conformally invariant form of the actions in Einstein, Weyl, Einstein–Cartan and
Einstein–Cartan–Weyl space in general dimensions (> 2) and investigate the relations …

We construct an anisotropic Weyl invariant theory in the ADM formalism and discuss its
cosmological consequences. It extends the original anisotropic Weyl invariance of Hořava …

We study the theory of Weyl conformal gravity with matter degrees of freedom in a
conformally invariant interaction. Specifically, we consider a triplet of scalar fields and SO (3) …

We consider a generalization of Einstein's general theory of relativity such that it respects
local scale invariance. This requires the introduction of a scalar and a vector field in the …

We consider a generalization of the standard model of particle physics such that it displays
global scale invariance. The gravitational action is also suitably modified to respect this …

We study gravitational properties of vacuum energy by erecting a geometry on the stress–
energy tensor of vacuum, matter and radiation. Postulating that the gravitational effects of …