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Classical and Quantum Gravity

General transformation formulas for Fermi–Walker coordinates

Author

David Klein 1 and Peter Collas 2

Affiliations

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 peter.collas@csun.edu

Journal

Classical and Quantum Gravity Create an alert RSS this journal

Issue

Volume 25, Number 14

Citation

David Klein and Peter Collas 2008 Class. Quantum Grav. 25 145019

doi: 10.1088/0264-9381/25/14/145019


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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

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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