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Magnetohydrodynamics and cosmology

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Abstract

It is well known that the Maxwell equations are connected to Minkowski space-time and to the Poincaré group. If we pass to the De Sitter universe with constant curvature, i.e., to the “projective relativity,” we must generalize the Maxwell equations in such a way to make them invariants for the Fantappié group. We thus obtain more general equations which can be interpreted as equations of magnetohydrodynamics and which reunite in a single theory electromagnetism and relativistic hydrodynamics.

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References

  1. Arcidiacono, G. (1976).Gen. Rel. Grav.,7, 855; (1977).Gen. Rel. Grav.,8, 865; Fantappié, L. (1973).Opere Scelte, vol. 2 (Ed. Unione Matematica Italiana, Bologna).

    Google Scholar 

  2. Milne, E. A. (1948).Kinematic Relativity (Clarendon Press, Oxford).

    Google Scholar 

  3. Bondi, H. (1961).Cosmology (University Press, Cambridge); Sciama, D. W. (1971).Modern Cosmology (University Press, Cambridge).

    Google Scholar 

  4. Arcidiacono, G. (1973).Relatività e Cosmologia (Libreria Veschi, Viale Università 7, Roma), p. 249.

    Google Scholar 

  5. Arcidiacono, G. (1968).Coll. Mathematica (Barcelona),19, 177. See also Castagnino, M. (1970).Ann Poincaré,13, 77; Kerner, E. H. (1976).Proc. Nat. Acad. Sci. USA,73, 1418.

    Google Scholar 

  6. Tricomi, F. (1957).Equazioni alle derivate parziali (Cremonese, Roma).

    Google Scholar 

  7. Arcidiacono, G. (1955).Rend. Accad. Lincei,18, 515, 631; (1958).Coll. Math.,10, 85, (1976),Coll. Math.,27, 119.

    Google Scholar 

  8. Lichnerowicz, A. (1967).Relativistic Hydrodynamics and Magnetohydrodynamics (Benjamin, New York); Costa de Beauregard, O. (1949).La théorie de la Relativité Restreinte (Masson, Paris), p. 144.

    Google Scholar 

  9. Arcidiacono, G. (1962).Rend. Accad. Lincei,33, 297; (1971).Coll. Math.,22, 141.

    Google Scholar 

  10. Arcidiacono, G.Magnetoidrodinamica e Cosmologia, II Congresso di Relativitá e Cosmologia (September 21, 1976), Università di Ferrara (Italy). Unpublished.

    Google Scholar 

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Arcidiacono, G. Magnetohydrodynamics and cosmology. Gen Relat Gravit 9, 979–986 (1978). https://doi.org/10.1007/BF00784658

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