Normal frames and the validity of the equivalence principle: I. Cases in a neighbourhood and at a point

DOI10.1088/0305-4470/29/21/020zbMath0899.53064arXivgr-qc/9608019OpenAlexW3105828350MaRDI QIDQ4393732

Bozhidar Z. Iliev

Publication date: 11 June 1998

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9608019

zbMATH Keywords

derivationsholonomicityequivalence principleexistence of normal frames

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

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Locally inertial reference frames in Lorentzian and Riemann-Cartan spacetimes ⋮ Is the principle of equivalence a principle? ⋮ Gravitation as anholonomy ⋮ DEVIATION EQUATIONS OF SYNGE AND SCHILD OVER $({\bar L}_n,g)$-SPACES ⋮ GENERAL REFERENCE FRAMES AND THEIR ASSOCIATED SPACE MANIFOLDS ⋮ Connection theory on differentiable fibre bundles: A concise introduction ⋮ Auto-parallel equation as Euler-Lagrange's equation over spaces with affine connections and metrics ⋮ Normal frames for general connections on differentiable fibre bundles ⋮ Deviation operator and deviation equations over spaces with affine connections and metrics ⋮ Dirac-type equations in a gravitational field, with vector wave function ⋮ On the existence of a gyroscope in spaces with affine connections and metrics ⋮ Normal frames for derivations and linear connections and the equivalence principle

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