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Post-Newtonian spin and angular momentum of bounded systems

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Abstract

We generalize the newtonian expressions for the orbital angular momentum of a two-body system, and for the spin of each body, by introducing corresponding definitions in the post-Newtonian approximation of fully conservative theories of gravity. Using this definition of the spin and assuming that the bodies rotate rigidly and that the equations of motion are Hamiltonian, we show that in fully conservative theories of gravity the spin of each body undergoes a relativistic precession about the direction of the orbital angular momentum, as a consequence of the local equations of motion for a perfect fluid.

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References

  1. Barker, B. M., and O'Connell, R. F. (1975).Phys. Rev. D,12, 329.

    Google Scholar 

  2. Börner, G., Ehlers, J., and Rudolph, E. (1975).Astron. Astmphys.,44, 417.

    Google Scholar 

  3. Caporali, A. (1979). Ph.D. thesis, University of Munich.

  4. Cho, C. F., and Hari Dass, N. D. (1976).Ann. Phys. (N. Y.),96, 406.

    Google Scholar 

  5. Landau, L., and Lifshitz, E. (1971).The Classical Theory of Fields (Pergamon, London).

    Google Scholar 

  6. McCrea, J. D., and O'Brien, G. (1978).Gen. Rel. Grav.,9, 1101.

    Google Scholar 

  7. Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1972).Gravitation (W. H. Freeman and Company, San Francisco).

    Google Scholar 

  8. O'Brien, G. (1979).Gen. Rel. Grav.,10, 129.

    Google Scholar 

  9. Spyrou, N. (1977).Gen. Rel. Grav.,8, 463 (Paper I).

    Google Scholar 

  10. Spyrou, N. (1979). Habilitation Deg., University of Thessaloniki, Greece; alsoGen. Rel. Grav., to be published.

    Google Scholar 

  11. Weinberg, S. (1972).Gravitation and Cosmology (John Wiley and Sons, New York).

    Google Scholar 

  12. Will, C. W. (1974). InExperimental Gravitation: Proceedings of Course 56 of the International School of Physics “Enrico Fermi” Bertotti. B., ed. (Academic Press, New York).

    Google Scholar 

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Authors and Affiliations

  1. Institut für Astrophysik, Max-Planck-Institut für Physik und Astrophysik, D-8046, Garching b. München, Federal Republic of Germany

    A. Caporali & N. Spyrou

Authors
  1. A. Caporali
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  2. N. Spyrou
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Visiting scientist to the Max-Planck-Institut für Physik und Astrophysik. On leave of absence from the Astronomy Department, University of Thessaloniki, Greece.

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Caporali, A., Spyrou, N. Post-Newtonian spin and angular momentum of bounded systems. Gen Relat Gravit 13, 689–701 (1981). https://doi.org/10.1007/BF00759412

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  • DOI: https://doi.org/10.1007/BF00759412

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