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The energy determined in general relativity on the basis of the traditional Hamiltonian approach does not have physical meaning

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Conclusions

The energy-momentum problem for the gravitational field in general relativity has been a stumbling block for theoreticians for more than six decades. During this time different authors have proposed in the scientific literature numerous approaches to the problem, but none of them has led to sucoess. Extensive analysis of the energy-momentum problem in general relativity shows [8, 9, 11–17] that in Einstein's theory there is in principle no solution to this problem, since it does not contain conservation laws for the matter and gravitational field taken together.

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Literature Cited

  1. D. Brill, S. Deser, and L. D. Faddeev, Phys. Lett. A,26, 583 (1968).

    Google Scholar 

  2. I. Choquet-Bruhat and J. E. Marsden, Commun. Math. Phys.,51, 283 (1976).

    Google Scholar 

  3. R. Schoen and S. T. Yau, Commun. Math. Phys.,65, 45 (1979).

    Google Scholar 

  4. E. Witten, Commun. Math. Phys.,80, 381 (1981).

    Google Scholar 

  5. L. D. Faddeev, Usp. Fiz. Nauk.136, 435 (1982).

    Google Scholar 

  6. L. D. Faddeev, “The energy problem in Einstein's theory of gravitation.” Preprint R-8-81 [in Russian], Leningrad Branch. V. A. Steklov Mathematics Institute (1981). pp. 3–48.

  7. B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry [in Russian], Nauka, Moscow (1979), p. 353.

    Google Scholar 

  8. V. I. Denisov and A. A. Logunov, Teor. Mat. Fiz.,51, 163 (1982).

    Google Scholar 

  9. A. A. Vlasov and V. I. Denisov, “Einstein's expression for gravitational radiation is not a consequence of general relativity.” Preprint OTF 81-141 [in Russian], Department of Theoretical Physics, Institute of High Energy Physics, Serpukhov (1981), pp. 3–21.

    Google Scholar 

  10. V. O. Solov'ev, “Noether's theorems in the canonical formalism of the general theory of relativity,” Preprint OTF 82-18 [in Russian], Department of Theoretical Physics, Institute of High Energy Physics, Serpukhov (1982), pp. 3–12.

    Google Scholar 

  11. A. A. Logunov and V. N. Folomeshkin, Teor. Mat. Fiz.,32, 147 (1977).

    Google Scholar 

  12. A. A. Logunov and V. N. Folomeshkin, Teor. Mat. Fiz.,32, 167 (1977).

    Google Scholar 

  13. A. A. Logunov and V. N. Folomeshkin, Teor. Mat. Fiz.,32, 291 (1977).

    Google Scholar 

  14. A. A. Logunov and V. N. Folomeshkin, Teor. Mat. Fiz.,33, 174 (1977).

    Google Scholar 

  15. V. I. Denisov and A. A. Logunov, Teor. Mat. Fiz.,43, 187 (1980).

    Google Scholar 

  16. V. I. Denisov and A. A. Logunov, Teor. Mat. Fiz.,45, 291 (1980).

    Google Scholar 

  17. V. I. Denisov and A. A. Logunov, Teor. Mat. Fiz.,50, 3 (1982).

    Google Scholar 

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Authors
  1. V. I. Denisov
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  2. V. O. Solov'ev
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Additional information

Institute of High Energy Physics, Serpukhov. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 56, No. 2, pp. 301–314, August, 1983.

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Denisov, V.I., Solov'ev, V.O. The energy determined in general relativity on the basis of the traditional Hamiltonian approach does not have physical meaning. Theor Math Phys 56, 832–841 (1983). https://doi.org/10.1007/BF01016826

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