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Derivation of Einstein Cartan theory from General Relativity

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arxiv 1301.1588 v30 pith:XDUL63FF submitted 2013-01-08 gr-qc

classification gr-qc
keywords classicalconvergencecartanderivationderiveeinsteinfieldgeneral
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This work derives the elements of classical Einstein Cartan theory (EC) from classical general relativity (GR) in two ways. (I) Derive discrete versions of torsion (translational holonomy) and the spin torsion field equation of EC from one Kerr solution in GR. (II) Derive the field equations of EC as the continuum limit of a distribution of many Kerr masses in classical GR. The convergence computations employ epsilon delta arguments, and are not as rigorous as convergence in Sobolev norm. Inequality constraints needed for convergence restrict the limits from continuing to an infinitesimal length scale. EC enables modeling exchange of intrinsic and orbital angular momentum, which GR cannot do. Derivation of EC from GR strengthens the case for EC and for new physics derived from EC.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Reheating chiral dynamos with spin-0 and massive spin-1 torsions via chiral asymmetry

    astro-ph.CO 2025-02 reject novelty 4.0 of 10

    Adding a constant torsion trace to the chiral dynamo equation produces exponential magnetic growth with a sign set by torsion chirality, but the supporting equations and headline field strengths are not reliable.

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