arXiv
Open Access
2022
Dirac Spinors on Generalised Frame Bundles: a frame bundle formulation for Einstein-Cartan-Dirac theory
Jérémie Pierard de Maujouy
Abstrak
We clarify the structure obtained in Hélein and Vey's proposition for a variational principle for the Einstein-Cartan gravitation formulated on a frame bundle starting from a structure-less differentiable 10-manifold (arXiv:1508.07765v2 [math-ph]). The obtained structure is locally equivalent to a frame bundle. We show that under global hypotheses the formalism allows to produce variational principles which induce a frame bundle structure with a fibration over a base manifold and a variational principle on the base manifold. Our perspective on the model allows us to extend the Einstein-Cartan model to the Einstein-Cartan-Dirac theory which includes a Dirac spinor field coupled to the torsion field.
Topik & Kata Kunci
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Jérémie Pierard de Maujouy
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2022
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- en
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- arXiv
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- Open Access ✓