31 citations · 53 across the 9 of their papers we have counts for
9 papers
Polar Form of the Dirac Operator in Low-Dimensional Space-Times
Luca Fabbri, Giuseppe De Maria
We express in polar form the Dirac operator as left-multiplication by an assigned matrix: we use this technique to find its right-resolvent for low-dimensional spaces.
A covariant approach to the Dirac field in LRS space-times: the case of coplanar frames
Stefano Vignolo, Giuseppe De Maria, Sante Carloni +1
We employ the polar decomposition of the Dirac field to describe it as an effective spinorial fluid. We then construct a covariant formalism for the Dirac field that avoi…
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…
Quantized Dirac Fields in torsionful gravity: cosmological implications and links with the dark universe
Antonio Capolupo, Sante Carloni, Luca Fabbri +3
We consider a classical field in square torsion theory as a source of torsion for a quantum fermion field in FLRW metric. In the framework of QFT, we obtain vacuum contributions to…
A covariant approach to the Dirac field in LRS space-times
Stefano Vignolo, Giuseppe De Maria, Luca Fabbri +1
We use the polar decomposition to describe the Dirac field in terms of an effective spinorial fluid. After reformulating all covariant equations in ``spinorial'' signature $(+ -- )…
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…
A square-torsion modification of Einstein-Cartan theory
Luca Fabbri, Stefano Vignolo, Cosimo Stornaiolo
In the present paper we consider a theory of gravity in which not only curvature but also torsion is explicitly present in the Lagrangian, both with their own coupling constant. In…
The most general ELKO Matter in torsional f(R)-theories
Luca Fabbri, Stefano Vignolo
We study f(R)-gravity with torsion in presence of the most general ELKO matter, checking the consistency of the conservation laws with the matter field equations; we discuss some m…