We review the present status of gauge theories built on various quantum space–times
described by noncommutative space–times. The mathematical tools and notions underlying …

A deformation of the algebra of diffeomorphisms is constructed for canonically deformed
spaces with constant deformation parameter θ. The algebraic relations remain the same …

Starting from a self-dual formulation of gravity, we obtain a noncommutative theory of pure
Einstein theory in four dimensions. In order to do that, we use the Seiberg-Witten map. A …

In this paper we study noncommutative black holes. We use a diffeomorphism between the
Schwarzschild black hole and the Kantowski-Sachs cosmological model, which is …

We construct a model for noncommutative gravity in four dimensions, which reduces to the
Einstein–Hilbert action in the commutative limit. Our proposal is based on a gauge …

In this paper we propose a SUSY generalization for deformed phase-space cosmology. In
particular, scalar field and phantom cosmology are studied. We construct the supercharges …

In the present article we review the work carried out by us and collaborators on
supersymmetric quantum cosmology, noncommutative quantum cosmology and the …

In this paper, we introduce a noncommutative version of the Brans-Dicke (BD) theory and
obtain the Hamiltonian equations of motion for a spatially flat Friedmann-Lemaître …

In this paper we investigate to which extent noncommutativity, an intrinsically quantum
property, may influence the Friedmann-Robertson-Walker cosmological dynamics at late …

We study the collapse process of a homogeneous perfect fluid (in FLRW background) with a
barotropic equation of state in Brans–Dicke (BD) theory in the presence of phase space …