27 citations · 76 across the 4 of their papers we have counts for
6 papers
The Lie derivative of spinor fields: theory and applications
Marco Godina, Paolo Matteucci
Starting from the general concept of a Lie derivative of an arbitrary differentiable map, we develop a systematic theory of Lie differentiation in the framework of reductive G-stru…
Reductive G-structures and Lie derivatives
Marco Godina, Paolo Matteucci
Reductive G-structures on a principal bundle Q are considered. It is shown that these structures, i.e. reductive G-subbundles P of Q, admit a canonical decomposition of the pull-ba…
Einstein-Dirac theory on gauge-natural bundles
Paolo Matteucci
We present a clear-cut example of the importance of the functorial approach of gauge-natural bundles and the general theory of Lie derivatives for classical field theory, where the…
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%auto-ignore This paper has been withdrawn by the authors.