105 citations · 1.1k across the 56 of their papers we have counts for
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A note on spinor fields in spherical symmetry
Stefano Vignolo, Luca Fabbri
By employing the polar re-formulation, we show that there are no solutions of the Dirac equations in spherical symmetry when the spinor is required to satisfy the same symmetries a…
Dirac Fields in Hydrodynamic Form and their Thermodynamic Formulation
Luca Fabbri, Stefano Vignolo, Giuseppe De Maria +1
We consider the theory of spinor fields written in polar form and we re-express it in terms of the so-called covariant splitting: after this is done for the basic k…
Polar form of Dirac fields: implementing symmetries via Lie derivative
Luca Fabbri, Stefano Vignolo, Roberto Cianci
We consider the Lie derivative along Killing vector fields of the Dirac relativistic spinors: by using the polar decomposition we acquire the mean to study the implementation of sy…
Small oscillations of non-dissipative Lagrangian systems
Enrico Massa, Stefano Vignolo
The small oscillations of an arbitrary scleronomous system subject to time-independent non dissipative forces are discussed. The linearized equations of motion are solved by quadra…
Floating rigid bodies: a note on the conservativeness of the hydrostatic effects
Enrico Massa, Stefano Vignolo
Within the framework of Lagrangian mechanics, the conservativeness of the hydrostatic forces acting on a floating rigid body is proved. The representation of the associated hydrost…
Variational techniques in general relativity: A metric-affine approach to Kaluza's theory
Enrico Massa, Stefano Vignolo
A new variational principle for General Relativity, based on an action functional $I\/(Φ,\nabla)\/$ involving both the metric $Φ\/$ and the connection $\nabla\/$ as independent, \e…