Soviet Physics Journal

, Volume 24, Issue 7, pp 631–635 | Cite as

Structure of the generalized momentum of a charged test particle and the inverse problem in the general theory of relativity

  • A. V. Zakharov
  • R. S. Singatullin


The work of Sedov [1] examined the navigational problem which involves finding the metric tensor g of space of general relativity from the results of physical measurements. The problem of the approximate determination of g from the mutual deflection of test particles in gravitational fields was studied in [2], The problem of finding g from the second integrals of the geodesic equations in gravitational fields was solved in [3]. The connection of the first integrals of the Hamilton-Jacobi equation of the test particles with the symmetry of StÄckel spaces was investigated by Shapovalov [4, 5].


General Relativity Inverse Problem General Theory Gravitational Field Physical Measurement 
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Literature cited

  1. 1.
    L. I. Sedov, Prikl. Mat. Mekh.,41, No. 6, 97 (1977).Google Scholar
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    A. N. Aleksandrov and K. S. Piragas, Teor. Mat Fiz.,38, No. 1, 77 (1979).Google Scholar
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    R. S. Singatullin, Dokl. Akad. Nauk SSSR,242, No. 2, 370 (1978).Google Scholar
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    V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 35 (1978).Google Scholar
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    V. N. Shapovalov, Izv. Vyssh, Uchebn. Zaved., Fiz., No. 12, 14 (1975).Google Scholar
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    R. S. Singatullin, A. V. Zakharov, and V. N. Finogentov, Republic Collection “Geometry” [in Russian], No. 5, Leningrad (1976), p. 116.Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • A. V. Zakharov
    • 1
  • R. S. Singatullin
    • 1
  1. 1.Bashkir Pedagogical InstituteUSSR

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