Normal frames for derivations and linear connections and the equivalence principle

2001/10/21 by Bozhidar Z. Iliev
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/s0393-0440(02)00119-5

published as J.Geom.Phys. 45 (2003) 24-53 · 20 standard LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For related works, visit the publication pages at http://theo.inrne.bas.bg/~bozho/

arxiv created 2001/10/21 · openalex publication_date 2002/12/02 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Frames normal for linear connections in vector bundles are defined and studied. In particular, such frames exist at every fixed point and/or along injective path. Inertial frames for gauge fields are introduced and on this ground the principle of equivalence for (system of) gauge fields is formulated.

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