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Effective potential for gravity in flat space-time

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Lettere al Nuovo Cimento (1971-1985)

Summary

An effective potential in special relativity gives the Hamiltonian motion of test bodies. From this remark, we discuss the possibility of formulating direct gravitational interactions between two or more particles in Minkowski space.

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References

  1. N. Rosen:Phys. Rev.,57, 147 (1940).

    Article  MathSciNet  ADS  Google Scholar 

  2. A. Papapetrou:Proc. R. Jr. Acad. Sect. A,52, 11 (1948).

    MathSciNet  Google Scholar 

  3. Ph. Droz-Vincent:Ann. Inst. Henri Poincaré,27, 407 (1977);I. T. Todorov: Commun. J.I.N.E. E2-10125 (Dubna, 1976);V. V. Molotkov andI. T. Todobov:Commun. Math. Phys.,79,111 (1981);A. Komar:Phys. Rev. D,18, 1881, 1887 (1978);F. Rohrlich:Ann. Phys. (N.Y.),117, 292 (1979);D. Dominici,J. Gomis andG. Longhi:Nuovo Cimento A,48, 257 (1978); etc Abundance of the literature does not permit to be exhaustive.

    MathSciNet  ADS  Google Scholar 

  4. C. W. Misner,K. S. Thorne andJ. A. Wheeler:Gravitation (San Francisco, Cal., 1974), sect. 25.2, p. 654.

  5. T. Aaberge:Gen. Rel. Grav.,10, 897 (1979).

    Article  ADS  MATH  Google Scholar 

  6. Ph. Droz-Vincent:Rep. Math. Phys.,8, 79 (1975), and ref. (3).

    Article  MathSciNet  ADS  Google Scholar 

  7. Ph. Droz-Vincent:C. R. Acad. Sci. Paris,290 (1980).

  8. L. Bel, T. Damour, N. Deruelle, J. Ibanez andJ. Martin:Gen. Rel. Grav.,13, 963 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  9. R. Lapiedra andA. Molina:J. Math. Phys. (N.T.),20, 1308 (@#@ 1979. For gravity see ref. (8). These works exibit predictive forces, but not in Hamiltonian form.

    Article  MathSciNet  ADS  Google Scholar 

  10. J. L. Sanz: Thesis, Universidad Autonoma do Madrid (1976);J. Math. Phys. (N.Y.),20, 2334 (1979).

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Droz-Vincent, P. Effective potential for gravity in flat space-time. Lett. Nuovo Cimento 37, 165–168 (1983). https://doi.org/10.1007/BF02752248

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  • DOI: https://doi.org/10.1007/BF02752248

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