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gr-qc2026
Dirac fields in LRS III spacetimes: a dynamical systems analysis
Fabrizio Esposito, Sante Carloni, Stefano Vignolo
Within the covariant formalism, we investigate Locally Rotationally Symmetric (LRS) class III spacetimes sourced by a self-gravitating Dirac field expressed in polar form.…
gr-qc2026
A Covariant Distributional Approach for Junctions in Torsional Locally Rotationally Symmetric Class II Spacetimes
Ujjwal Agarwal, Sante Carloni
A rigorous framework for consistent study of junctions in a coordinate independent manner is presented. This is achieved by extending a theory of distributions in curved spacetimes…
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…