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LETTER TO THE EDITOR

Normal frames for non-Riemannian connections

David Hartley 1995 Class. Quantum Grav. 12 L103-L105   doi: 10.1088/0264-9381/12/11/001  Help

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David Hartley
Institute for Algorithms and Scientific Computing, GMD - German National Research Center for Information Technology, St Augustin, Germany

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.

PACS numbers: 0240, 0450

Print publication: Issue 11 (November 1995)
Received 31 July 1995

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