Normal frames for non-Riemannian connections

Details Normal frames for non-Riemannian connections Normal frames for non-Riemannian connections

1995-10-09

arxiv.org/abs/gr-qc/9510013v1

Class.Quant.Grav.12:L103-L106,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, plain TeX. To appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/12/11/001

The principal properties of geodesic normal coordinates are the vanishing of the connection components and first derivatives of the metric components at some point. It is well-known that these hold only at points where the connection has vanishing torsion and non-metricity. However, it is shown that normal frames, possessing the essential features of normal coordinates, can still be constructed when the connection is non-Riemannian.

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