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General transformation formulas for Fermi–Walker coordinates

David Klein1 and Peter Collas2

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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

04.20.Jb Exact solutions

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C75 Space-time singularities, cosmic censorship, etc.

41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)

83C15 Exact solutions

Subjects

Gravitation and cosmology

Dates

Issue 14 (21 July 2008)

Received 3 March 2008, in final form 28 May 2008

Published 30 June 2008



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