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

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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Cited by in corpus (6)

• Gravitation as Anholonomy
• Equivalence principle in classical electrodynamics
• Normal frames for general connections on differentiable fibre bundles
• Connection theory on differentiable fibre bundles. A pedagogical introduction
• On the axiomatization of "parallel transports" and and one its generalization
• Links between connections, parallel transports, and transports along paths in differentiable fibre bundles