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- Title
SINGULARITIES, TORSION, CAUCHY INTEGRALS AND THEIR SPECTRA ON SPACE-TIME.
- Authors
BULNES, FRANCISCO
- Abstract
All field sources are identified as fields ϕAB, which can be identified too as poles or singularities in the complex Riemannian manifold model of the space-time including field sources, such that their integrals can calculate their value through the Cauchy type integrals as the Conway integrals to any loop generated in the local causal structure of the space-time around of these fields. The integrals are solutions of the spinor equation associated to the corresponding twistor field equation. A theorem is mentioned on the evidence of field torsion as field invariant and geometrical invariant in poles of Cauchy type integrals in spinor-twistor frame. Then an immediate result is that torsion existence in the space-time induces gravitational waves in a projective bundle. Sources are evidence at least locally of torsion existence. Then exists curvature here. Some conjectures and technical lemmas are mentioned as references of other works and is included a new application conjecture too.
- Subjects
CAUCHY integrals; MATHEMATICAL singularities; RIEMANNIAN manifolds; INTEGRAL transforms; EXISTENCE theorems
- Publication
Transylvanian Journal of Mathematics & Mechanics, 2023, Vol 15, Issue 1/2, p29
- ISSN
2067-239X
- Publication type
Article