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Journal of Mathematical Physics / Volume 23 / Issue 1

J. Math. Phys. 23, 96 (1982); http://dx.doi.org/10.1063/1.525214 (9 pages)

A new mathematical formulation of accelerated observers in general relativity. I

D. G. Retzloff1, B. DeFacio2, and P. W. Dennis3

1Department of Chemical Engineering, University of Missouri‐Columbia, Columbia, Missouri 65211
2Department of Physics, University of Missouri‐Columbia, Columbia, Missouri 65211 and Applied Mathematical Sciences, Ames Laboratory USDOE, and Iowa State University, Ames, Iowa 50011
3BDM Corporation, Redondo Beach, California 90278

Invariant methods of modern differential geometry are used to formulate exact closed form expressions for the coordinate velocity and coordinate acceleration of a geodesic particle in the tangent space of a general relativistic accelerating rotating observer. The observation of a general vector field is shown to be definable in two ways from presymmetry and covariance arguments. Our results for the parallel translation definition of observation are shown to subsume existing work in both special and general relativity on accelerated observers.

KEYWORDS and PACS

Keywords

GENERAL RELATIVITY THEORY, ACCELERATION, VELOCITY, ROTATION, VECTOR FIELDS, COORDINATES

PACS

  • 04.20.Cv

    Fundamental problems and general formalism

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.525214

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    F. K. Manasse and C. W. Misner, J. Math. Phys. 4, 735 (1963JMAPAQ000004000006000735000001).

    F. B. Estabrook and H. D. Wahlquist, J. Math. Phys. 5, 1629 (1964JMAPAQ000005000011001629000001).

    B. DeFacio, P. W. Dennis, and D. G. Retzloff, Phys. Rev. D 18, 2813 (1978)
    Phys. Rev. D 20, 570 (1979).

    W.-T. Ni and M. Zimmerman, Phy. Rev. D 17, 1473 (1978).

    W.-Q. Li and W.-T. Ni, J. Math. Phys. 20, 1473 (1979JMAPAQ000020000007001473000001).

    B. DeFacio and D. G. Retzloff, J. Math. Phys. 21, 751 (1980JMAPAQ000021000004000751000001).



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