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General transformation formulas for Fermi–Walker coordinates

David Klein et al 2008 Class. Quantum Grav. 25 145019 (17pp)   doi: 10.1088/0264-9381/25/14/145019  Help

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David Klein1 and Peter Collas2
1 Department of Mathematics, California State University, Northridge, Northridge, CA 91330-8313, USA
2 Department of Physics and Astronomy, California State University, Northridge, Northridge, CA 91330-8268, USA
E-mail: david.klein@csun.edu and peter.collas@csun.edu

Abstract. We calculate the transformation and inverse transformation, in the form of Taylor expansions, from arbitrary coordinates to Fermi–Walker coordinates in tubular neighborhoods of arbitrary timelike paths for general spacetimes. Explicit formulae for coefficients and the Jacobian matrix are given.

PACS numbers: 04.20.Cv, 04.20.−q

Print publication: Issue 14 (21 July 2008)
Received 3 March 2008, in final form 28 May 2008
Published 30 June 2008

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