Normal frames and the validity of the equivalence principle

Details Normal frames and the validity of the equivalence principle Normal frames and the validity of the equivalence principle

1997-09-20

arxiv.org/abs/gr-qc/9709053v1

J.Phys.A30:4327-4336,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, LaTeX 2e, the package amsfonts is needed

Scientific paper

10.1088/0305-4470/30/12/019

We investigate the validity of the equivalence principle along paths in gravitational theories based on derivations of the tensor algebra over a differentiable manifold. We prove the existence of local bases, called normal, in which the components of the derivations vanish along arbitrary paths. All such bases are explicitly described. The holonomicity of the normal bases is considered. The results obtained are applied to the important case of linear connections and their relationship with the equivalence principle is described. In particular, any gravitational theory based on tensor derivations which obeys the equivalence principle along all paths, must be based on a linear connection.

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