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Connection Between Non-Rotating Local Reference Frames by Means of the World Function

Published online by Cambridge University Press:  12 April 2016

J.M. Gambi ,
P. Romero ,
A.San Miguel  and
F. Vicente
J.M. Gambi
Affiliation:
Instituto de Astronomia y Geodesia (UCM-CSIC)Facultad de Ciencias MatematicasUniversidad Complutense, Madrid, Spain
P. Romero
Affiliation:
Instituto de Astronomia y Geodesia (UCM-CSIC)Facultad de Ciencias MatematicasUniversidad Complutense, Madrid, Spain
A.San Miguel
Affiliation:
Departamento de Matematica AplicadaUniversidad de Valladolid, Valladolid, Spain
F. Vicente
Affiliation:
Departamento de Matematica AplicadaUniversidad de Valladolid, Valladolid, Spain

Abstract

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By means of the world function an approximate transformation showing the Riemann tensor between the Fermi coordinates associated to two non-rotating local reference frames is derived in a General Relativistic space-time. One of the observer’s world lines is resticted to be a time-like geodesic of the space-time, and the other is a time-like curve of a general character. The space-time where the transformation is evaluated is supposed to be of small curvature, and the calculations are carried out in a first order of approximation with respect to the Riemann tensor.

Type
Part 2. Poster Papers
Information
International Astronomical Union Colloquium , Volume 127: Reference Systems , 1991 , pp. 262 - 265
Copyright
Copyright © United States Naval Observatory 1991

References

Synge, J.L. 1960, Relativity: The General Theory, North Holland, Amsterdam Google Scholar