Structure of the generalized momentum of a charged test particle and the inverse problem in the general theory of relativity
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The work of Sedov  examined the navigational problem which involves finding the metric tensor giθ of space of general relativity from the results of physical measurements. The problem of the approximate determination of giθ from the mutual deflection of test particles in gravitational fields was studied in , The problem of finding giθ from the second integrals of the geodesic equations in gravitational fields was solved in . 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].
KeywordsGeneral Relativity Inverse Problem General Theory Gravitational Field Physical Measurement
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