1.

Polar solutions with tensorial connection of the spinor equation
/ Fabbri, Luca
Dirac field equations are studied for spinor fields without any external interaction and when they are considered on a background having a tensorial connection with a specific nonvanishing structure some solution can be found in polar form displaying a squareintegrable localized behaviour..
Published in EPJC 79 (2019) 188
10.1140/epjc/s1005201967094
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2.

Black Hole singularity avoidance by the Higgs scalar field
/ Fabbri, Luca
Einstein gravitation is known to give rise to the formation of singularities at high densities unless the dominant energy condition is made invalid by the occurrence of new physics: we show that such a new physics can be the already present Higgs sector of the standard model of particle physics..
Published in EPJC 78 (2018) 1028
10.1140/epjc/s1005201865056
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3.

Covariant inertial forces for spinors
/ Fabbri, Luca
In this paper we consider the Dirac spinor field in interaction with a background of electrodynamics and torsiongravity; by performing the polar reduction we acquire the possibility to introduce a new set of objects that have the geometrical status of nonvanishing tensors but which seem to contain the same information of the connection: thus they appear to be describing something that seems like an inertial force but which is also essentially covariant. [...]
Published in EPJC 78 (2018) 783
10.1140/epjc/s1005201862608
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4.

Nonexistence of restframe spineigenstate spinors in their own electrodynamics
/ Fabbri, Luca ; da Rocha, Roldão
We assume a physical situation where gravity with torsion is neglected for an electrodynamically selfinteracting spinor that will be taken in its restframe and spineigenstate: we demonstrate that under this circumstance no solution exists for the system of field equations. [...]
Published in EPJC 78 (2018) 363
10.1140/epjc/s1005201858607
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5.

Unveiling a spinor field classification with nonAbelian gauge symmetries
/ Fabbri, Luca ; da Rocha, Roldão
A spinor fields classification with nonAbelian gauge symmetries is introduced, generalizing the U(1) gauge symmetriesbased Lounesto's classification. [...]
Published in Physics letters B (2018)
10.1016/j.physletb.2018.03.029
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6.

Torsion axial vector and YvonTakabayashi angle: zitterbewegung, chirality and all that
/ Fabbri, Luca ; da Rocha, Roldão
We consider propagating torsion as a completion of gravitation in order to describe the dynamics of curvedtwisted spacetimes filled with Dirac spinorial fields; we discuss interesting relationships of the torsion axial vector and the curvature tensor with the YvonTakabayashi angle and the module of the spinor field, that is the two degrees of freedom of the spinor field itself: in particular, we shall discuss in what way the torsion axial vector could be seen as the potential of a specific interaction of the YvonTakabayashi angle, and therefore as a force between the two chiral projections of the spinor field itself. [...]
Published in EPJC 78 (2018) 207
10.1140/epjc/s1005201857063
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7.

Critical exact solutions for selfgravitating Dirac fields
/ Cianci, Roberto ; Fabbri, Luca ; Vignolo, Stefano
We consider the Einstein–Dirac field equations describing a selfgravitating massive neutrino, looking for axially symmetric exact solutions; in the search of general solutions, we find some that are specific and which have critical features, such as the fact that the spacetime curvature turns out to be flat and the spinor field gives rise to a vanishing bilinear scalar ψ¯ψ=0 with nonvanishing bilinear pseudoscalar iψ¯γ5ψ≠0 : because in quantumfield theory general computational methods are built on planewave solutions, for which the bilinear pseudoscalar vanishes while the bilinear scalar does not vanish, then the solutions we found cannot be treated with the usual machinery of quantumfield theory. [...]
Published in EPJC 76 (2016) 595
10.1140/epjc/s1005201644287
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8.

Exact solutions for Weyl fermions with gravity
/ Cianci, Roberto ; Fabbri, Luca ; Vignolo, Stefano
We consider the singlehanded spinor field in interaction with its own gravitational field described by the set of field equations given by the Weyl field equations written in terms of derivatives that are covariant with respect to the gravitational connection plus Einstein field equations soured with the energy tensor of the spinor: for the Weyl spinor and the ensuing spacetime of Weyl–Lewis–Papapetrou structure, we find all exact solutions. [...]
Published in EPJC 75 (2015) 478
10.1140/epjc/s1005201536989
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