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The least action principle in general relativity theory

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Abstract

In the framework of general relativity theory, the Einstein equations are obtained using a modified procedure, i.e., by introducing a congruence of timelike curves in the Riemann space and taking into account the relation between the variations. The aim is to satisfy the least action principle with respect to any frame of reference

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References

  1. L. D. Landau and E. M. Lifshits,Course of Theoretical Physics [in Russian], (7th ed.), Vol. 2,Classical Field Theory, Nauka, Moscow (1988), English transl. prev. ed.: Pergamon, Oxford (1975).

    Google Scholar 

  2. Yu. I. Neimark and N. A. Fufaev,Dynamics of Nonholonomic Systems, [in Russian], Nauka, Moscow (1967), English transl.: Am. Math. Soc., New York (1972).

    Google Scholar 

  3. Yu. S. Vladimirov,Reference Frames in Theory of Gravity [in Russian], Énergoatomizdat, Moscow (1982).

    Google Scholar 

  4. Ya. B. Zel'dovich,Sov. Phys. Usp.,24, 216 (1981).

    Article  Google Scholar 

  5. A. A. Logunov and M. A. Mestvirishvili,Relativistic Theory of Gravity [in Russian], Nauka, Moscow (1989).

    Google Scholar 

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Authors and Affiliations

  1. Russian Federal Nuclear Center, Russian Institute of Experimental Physics, Sarov, Nizhnii Novgorod Region, Russia

    M. V. Gorbatenko

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  1. M. V. Gorbatenko
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Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 115, No. 2, pp. 305–311, May, 1998.

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Gorbatenko, M.V. The least action principle in general relativity theory. Theor Math Phys 115, 607–611 (1998). https://doi.org/10.1007/BF02575461

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  • DOI: https://doi.org/10.1007/BF02575461

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