Normal frames for linear connections in vector bundles and the equivalence principle in classical gauge theories

Bozhidar Z. Iliev (Institute for Nuclear Research; Bulgaria); Bulgarian Academy of Sciences; Nuclear Energy; Sofia

arxiv: hep-th/0110194 · v1 · submitted 2001-10-21 · ✦ hep-th · gr-qc· math-ph· math.MP

Normal frames for linear connections in vector bundles and the equivalence principle in classical gauge theories

Bozhidar Z. Iliev (Institute for Nuclear Research , Nuclear Energy , Bulgarian Academy of Sciences , Sofia , Bulgaria) This is my paper

classification ✦ hep-th gr-qcmath-phmath.MP

keywords framesgaugebundlesconnectionsequivalencefieldslinearnormal

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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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Normal frames for linear connections in vector bundles and the equivalence principle in classical gauge theories

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