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7 papers

math-ph2026

Dirac Fields in Hydrodynamic Form and their Thermodynamic Formulation

Luca Fabbri, Stefano Vignolo, Giuseppe De Maria +1

The paper rewrites Dirac spinor fields in a polar (hydrodynamic) form using a 1+1+2 covariant split, decomposes the resulting equations, and illustrates the approach with examples…

gr-qc2026

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…

math-ph2026

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…

hep-th2025

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…

gr-qc2025

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 $(+ -- )…

gr-qc2025

Locally Rotationally Symmetric spacetimes of type II in gravity

Fabrizio Esposito, Sante Carloni, Stefano Vignolo

We investigate the covariant formalism in the presence of nonmetricity. Focusing on Locally Rotationally Symmetric spacetimes, we show how nonmetricity affects all the kine…