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On the kinetic approach to many-body problems in general relativity

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Abstract

A new formulation of general relativistic kinetic theory, which includes the effects of ‘collisions’ in a self-consistent way, is given. It is found that if collision terms are necessary in the kinetic equation, then Einstein's field equations must be modified as well.

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References

  • Bel, L. (1969).Astrophysical Journal,155, 83.

    Google Scholar 

  • Chernikov, N. A. (1962).Doklad¯y Akademii nauk SSSR,144, 89, 314, 544. (English translations inSoviet physics: Doklady,7, 397; 414, 428).

    Google Scholar 

  • Ehlers, J., Geren, P. and Sachs, R. K. (1968).Journal of Mathematical Physics,9, 1344.

    Google Scholar 

  • Hakim, R. (1968).Physical Review,173, 1235.

    Google Scholar 

  • Ipser, J. R. and Thorne, K. S. (1968).Astrophysical Journal,154, 251.

    Google Scholar 

  • Ipser, J. R. (1969a).Astrophysical Journal,156, 509.

    Google Scholar 

  • Ipser, J. R. (1969b).Astrophysical Journal,158, 17.

    Google Scholar 

  • Klimontovich, Yu, L. (1967).The Statistical Theory of Non-Equilibrium Processes in a Plasma. The M.I.T. Press, Cambridge, Massachusetts.

    Google Scholar 

  • Lindquist, R. W. (1966).Annals of Physics (N. Y.),37, 487.

    Google Scholar 

  • Synge, J. L. (1957).The Relativistic Gas. North-Holland Publishing Company, Amsterdam.

    Google Scholar 

  • ter Haar, D. (1969). Statistical Mechanics of Stellar Systems. In:Proceedings of the International Conference on Statistical Mechanics, Kyoto. Supplement toJournal of the Physical Society of Japan, Vol. 26.

  • van Aldaba, T. S. (1968).Bulletin of the Astronomical Institute of the Netherlands,19, 479.

    Google Scholar 

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Author notes

  1. P. Yodzis

    Present address: School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin 2

Authors and Affiliations

  1. Department of Physics, New Mexico State University, Las Cruces, New Mexico

    P. Yodzis

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  1. P. Yodzis
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Yodzis, P. On the kinetic approach to many-body problems in general relativity. Int J Theor Phys 3, 331–336 (1970). https://doi.org/10.1007/BF00669761

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  • DOI: https://doi.org/10.1007/BF00669761

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