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Multi-step Fermi normal coordinates

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Publication details

JournalClassical and Quantum Gravity
DatePublished - 18 Jul 2012
Original languageEnglish


We generalize the concept of Fermi normal coordinates adapted to a geodesic to the case where the tangent space to the manifold at the base point is decomposed into a direct product of an arbitrary number of subspaces, so that we follow several geodesics in turn to find the point with given coordinates. We compute the connection and the metric as integrals of the Riemann tensor. In the case of one subspace (Riemann normal coordinates) or two subspaces, we recover some results previously found by Nesterov, using somewhat different techniques.

Bibliographical note

9 pages, 4 figures

    Research areas

  • gr-qc

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