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Can Malin’s gravitational-field equations be modified to obtain a viable theory of gravity?

Можно ли модифицировать уравнения гравитационного поля Малина для получения жизнеспособной теории гравитации?

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

Malin’s gravitational theory, which was recently shown by Lindblom and Nester to be incorrect, is modified by means of a recently proposed method for obtaining viable gravitational theories. The resulting self-consistent theory, which is in effect a Rastall-type modification of the Einstein theory, exhibits nonconservation of momentum, yet agrees with all experimental limits known to date within the PPN framework.

Riassunto

Si modifica la teoria gravitazionale di Malin, che Lindblom e Nester hanno recentemente dimostrato non essere corretta, usando un metodo proposto recentemente per ottenere ammissibili teorie gravitazionali. La teoria risultante, autoconsistente, che è in effetti una modifica di tipo di Rastall della teoria di Einstein, presenta la non conservazione dell’impulso, tuttavia è in accordo con tutti i limiti sperimentali conosciuti fino ad oggi entro il contesto della PPN.

Резюме

Используя недавно предложенный метод для получения жизнеспособных гравитационных теорий, проводится модификация гравитационной теории малина, которая, как было недавно полазано Линдбломом и Нестером, является некорректной. Полученная самосогласованная теория, которая, в действительности, предствляет модификацию типа Растолла теории Эйнштейна, показывает, что не сохранение испульса еще согласуется с данными во всех известных экспериментальные пределах в рамках PPN.

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References

  1. L. L. Smalley:Phys. Rev. D,12, 376 (1975).

    Article  ADS  Google Scholar 

  2. C. M. Will:Astrophys. Journ.,163, 611 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  3. S. Malin:Phys. Rev. D,11, 707 (1975).

    Article  ADS  Google Scholar 

  4. L. Lindblom andJ. M. Nester:Phys. Rev. D,12, 626 (1975).

    Article  ADS  Google Scholar 

  5. K. S. Thorne andC. M. Will:Astrophys. Journ.,163, 595 (1971).

    Article  MathSciNet  ADS  Google Scholar 

  6. We will follow the notation given in ref. (1).

    Article  ADS  Google Scholar 

  7. S. Chandrasekhar:Astrophys. Journ.,142, 1488 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  8. In the notation of Weinberg (S. Weinberg:Gravitation and Cosmology, Chap. 9 (New York, N. Y., 1972)) the order ofT μν (N) is the order of(GM/r 3)vN.

  9. L. L. Smalley:Phys. Rev. D,9, 1635 (1974).

    Article  ADS  Google Scholar 

  10. W.-T. Ni:Astrophys. Journ.,176, 769 (1972).

    Article  ADS  Google Scholar 

  11. C. M. Will andK. Nordtvedt:Astrophys. Journ.,177, 757 (1972).

    Article  MathSciNet  ADS  Google Scholar 

  12. P. Rastall:Phys. Rev. D,6, 3357 (1972).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. J. G. Williams, R. H. Dicke, P. L. Bender, C. O. Alley, W. E. Carter, D. G. Currie, D. H. Eckhardt, J. E. Faller, W. M. Kaula, J. D. Mulholland, H. H. Plotkin, S. K. Poultney, P. J. Shelus, E. C. Silverberg, W. S. Sinclair, M. A. Slade andD. T. Wilkinson:Phys. Rev. Lett.,36, 551 (1976);I. I. Shapiro, Ch. C. Counselman III andR. W. King:Phys. Rev. Lett.,36, 555 (1976).

    Article  ADS  Google Scholar 

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To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

Part of this work was completed while LLS was a NAS/NRC Senior Postdoctoral Resident Research Associate.

Traduzione a cura della Redazione.

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Smalley, L.L., Prestage, J. Can Malin’s gravitational-field equations be modified to obtain a viable theory of gravity?. Nuov Cim B 35, 224–232 (1976). https://doi.org/10.1007/BF02724059

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  • DOI: https://doi.org/10.1007/BF02724059

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