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A komar superpotential expression for the Trautman conservation law generator of general relativity

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. For detailed references on the historical development of the conservation laws of general relativity seeMøller (C. Møller:Ann. of Phys.,4, 347 (1958)) orDavis andMoss (W. R. Davis andM. K. Moss:Nuovo Cimento,38, 1531 (1965)).

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  2. A. Trautman:Lectures on Relativity, Kings College, London (1959) (unpublished);A. Trautman:Lectures on General Relativity (Englewood Cliffs, N. J., 1964), p. 185.

  3. A. Komar:Phys. Rev.,113, 934 (1959).

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  4. For example, it was shown by Moss and Davis (M. K. Moss andW. R. Davis:Nuovo Cimento (in press)) that the Trautman and Komar expressions were identical for the special case of the Killing vector representing the symmetry property which leads to the angular-momentum conservation law for the Kerr metric.

  5. Cohen (J. M. Cohen:Journ. Math. Phys.,9, 905 (1968)) circumvented this problem in the computation of the angular momentum for the Kerr metric by the use of hypersurface theory with the introduction of a second fundamental form.

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  6. W. R. Davis andM. K. Moss:Nuovo Cimento,38, 1531 (1965).

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  7. seeA. Trautman:Bull. Acad. Polon. Sci. Cl.,111,5, 721 (1957);W. R. Davis andM. K. Moss:Nuovo Cimento,27, 1492 (1963);38, 1531 (1965);M. K. Moss:Nuovo Cimento,57, 13, 257 (1968);M. K. Moss andW. R. Davis:Nuovo Cimento (in press).

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  8. W. R. Davis andM. K. Moss:Nuovo Cimento,38, 1558 (1965);G. H. Katzin, J. Levine andW. R. Davis:Journ. Math. Phys.,10, 617 (1969). Also, see the recent review article ofG. H. Katzin andJ. Levine:Colloquium Mathematicum (Poland) XXVI (1972) (in press).

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  9. Ph. von Freud:Ann. of Math.,40, 417 (1939).

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  10. C. Møller:Ann. of Phys.,4, 347 (1958);12, 118 (1961);Mats. Fys. Medd. Dan. Vid. Selsk.,31, No. 14 (1959).

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  11. L. Landau andE. Lifshitz:The Classical Theory of Fields (Reading, Mass., 1962).

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Authors and Affiliations

  1. Department of Physics North Carolina State University, Raleigh, N. C.

    M. K. Moss

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  1. M. K. Moss
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Moss, M.K. A komar superpotential expression for the Trautman conservation law generator of general relativity. Lett. Nuovo Cimento 5, 543–547 (1972). https://doi.org/10.1007/BF02752671

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