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arXiv · gr-qc/9510013

Normal frames for non-Riemannian connections

David Hartley
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Abstract

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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David Hartley. 1995-10-09. Normal frames for non-Riemannian connections. https://doi.org/10.1088/0264-9381%2F12%2F11%2F001

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