16 citations · 44 across the 5 of their papers we have counts for
5 papers
Gauge Natural Formulation of Conformal Theory of Gravity
M. Campigotto, L. Fatibene
We consider conformal gravity as a gauge natural theory. We study its conservation laws and superpotentials. We also consider the Mannheim and Kazanas spherically symmetric vacuum…
Do Barbero-Immirzi connections exist in different dimensions and signatures?
L. Fatibene, M. Francaviglia, S. Garruto
We shall show that no reductive splitting of the spin group exists in dimension 3 \leq m \leq 20 other than in dimension m = 4. In dimension 4 there are reductive splittings in any…
The physical foundations for the geometric structure of relativistic theories of gravitation. From General Relativity to Extended Theories of Gravity through Ehlers-Pirani-Schild approach
S. Capozziello, M. De Laurentis, L. Fatibene +1
We discuss in a critical way the physical foundations of geometric structure of relativistic theories of gravity by the so-called Ehlers-Pirani-Schild formalism. This approach prov…
Fluids in Weyl Geometries
L. Fatibene, M. Francaviglia
We shall investigate the consequences of non-trivial Weyl geometries on conservation laws of a fluid. In particular we shall obtain a set of properties which allow to obtain in thi…
Conservation Laws and Variational Sequences in Gauge-Natural Theories
L. Fatibene, M. Francaviglia, M. Palese
In the classical Lagrangian approach to conservation laws of gauge-natural field theories a suitable (vector) density is known to generate the so--called {\em conserved Noether cur…