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June 12, 20260 citationsOpen Access

Anisotropic Weyl Sources in Torsionful Twistor Transport

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HSHiroyuki Shioiri

Key Points

  • The central aim is to compute the projected Weyl source in anisotropic backgrounds and understand its implications on twistor transport.
  • Computed Weyl source for anisotropic warped Riemann-Cartan backgrounds.
  • Inserted the source into torsionful twistor transport analyses.
  • Examined Bianchi-I/Kasner data for correction of warp formulas.
  • The source includes Hubble-rate and time-derivative terms, indicating significant corrections to traditional warp formulas.
  • The resulting source drives an affine twistor displacement.
  • Nieh-Yan holonomy charge remains unchanged at the linear level.

Abstract

This paper computes the genuine projected Weyl source for anisotropic warped Riemann--Cartan backgrounds and inserts it into torsionful twistor transport. For Bianchi-I/Kasner data, the source contains both Hubble-rate and time-derivative terms, correcting derivative-independent warp formulas. The resulting source drives an affine twistor displacement while leaving the Nieh--Yan holonomy charge robust at the linear level.

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Cite This Study

Hiroyuki Shioiri (2026) studied this question.

synapsesocial.com/papers/6a2ba5308101cf8926f0366dhttps://doi.org/10.5281/zenodo.20621433
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