48 citations · 131 across the 7 of their papers we have counts for
5 papers · 1 filter
Metric-affine gravity and the Nester-Witten 2-form
Marco Godina, Paolo Matteucci, James A. Vickers
In this paper we redefine the well-known metric-affine Hilbert Lagrangian in terms of a spin-connection and a spin-tetrad. On applying the Poincaré-Cartan method and using the geom…
Two-spinor Formulation of First Order Gravity coupled to Dirac Fields
Marco Godina, Paolo Matteucci, Lorenzo Fatibene +1
Two-spinor formalism for Einstein Lagrangian is developed. The gravitational field is regarded as a composite object derived from soldering forms. Our formalism is geometrically an…
Two-component spinor Lie derivatives and spinor-gauge gravity
Marco Godina, Andrzej Borowiec, Marco Ferraris +2
%auto-ignore This paper has been withdrawn by the authors.
Gauge Formalism for General Relativity and Fermionic Matter
Lorenzo Fatibene, Marco Ferraris, Mauro Francaviglia +1
A new formalism for spinors on curved spaces is developed in the framework of variational calculus on fibre bundles. The theory has the same structure of a gauge theory and describ…
A geometric definition of Lie derivative for Spinor Fields
Lorenzo Fatibene, Marco Ferraris, Mauro Francaviglia +1
Relying on the general theory of Lie derivatives a new geometric definition of Lie derivative for general spinor fields is given, more general than Kosmann's one. It is shown that…