Kontou, Eleni-Alexandra orcid.org/0000-0003-4409-8188 and Olum, Ken D. (2012) Multi-step Fermi normal coordinates. Classical and Quantum Gravity. ISSN 1361-6382
Abstract
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.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | 9 pages, 4 figures |
Keywords: | gr-qc |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 03 May 2018 13:20 |
Last Modified: | 06 Dec 2023 12:27 |
Published Version: | https://doi.org/10.1088/0264-9381/30/17/175018 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1088/0264-9381/30/17/175018 |