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
Article
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Abstract

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].

Keywords

General Relativity Inverse Problem General Theory Gravitational Field Physical Measurement 

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Literature cited

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    L. I. Sedov, Prikl. Mat. Mekh.,41, No. 6, 97 (1977).Google Scholar
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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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