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Prog. Theor. Phys. Vol. 13 No. 3 (1955) pp. 265-275

[ Full Text PDF : FREE ACCESS (928K) ]

On Static Solutions of Einstein's Generalized Theory of Gravitation, II

Mineo Ikeda

Research Institute for Theoretical Physics, Hiroshima University, Takehara-machi, Hiroshima-ken

(Received November 12, 1954)

Abstract:

Previously we considered a new expression of the electromagnetic field strength in the generalized theory of gravitation. In the present paper we study, on this basis, static solutions of the field equations for the magnetic case. At first a magnetostatic field is studied by introducing a scalar potential. Next, examining the features of the field equations in Einstein's new theory, we show that a singularity of the field cannot be identified with the source, contrary to the classical field theories. By using this result it is further shown that a single magnetic pole does not exist. This conclusion is not contradictory to the observation, and consequently favorable to Einstein's new theory.


URL : http://ptp.ipap.jp/link?PTP/13/265/
DOI : 10.1143/PTP.13.265

[ Full Text PDF : FREE ACCESS (928K) ] Citation:

References:

  1. M. Ikeda, Prog. Theor. Phys. 12 (1954), 17[PTP].
  2. A. Einstein, The meaning of relativity, Princeton (1953), Appendix II.
  3. M. Wyman, Can. J. Math. 2 (1950), 427.
  4. W. B. Bonnor, Proc. R. Soc. A 210 (1952), 427.
  5. A. Papapetrou, Proc. R. Irish Acad. A 52 (1948), 69.
  6. W. B. Bonnor, Proc. R. Soc. A 209 (1951), 353.
  7. H. Takeno, M. Ikeda and S. Abe, Prog. Theor. Phys. 6 (1951), 837[PTP].
  8. J. L. Synge and A. Schild, Tensor calculus, Toronto (1949), 234.
  9. A. Papapetrou and E. Schördinger, Nature 168 (1951), 40[CrossRef].
  10. A. Lichnerowicz, Problèmes globaux en mécanique relativiste, Paris (1936).
  11. J. A. Schouten, Der Ricci-kalkül, Berlin (1924), 97.
  12. H. Weyl, Ann. d. Phys. [4] 54 (1917), 117.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 15 No. 1 (1956) pp. 1-11 :
    On Boundary Conditions in the Non-Symmetric Unified Field Theory
    Mineo Ikeda
  2. Progress of Theoretical Physics Vol. 18 No. 2 (1957) pp. 154-162 :
    On Einstein's Relativistic Theory of the Non-Symmetric Field
    Mineo Ikeda
  3. Progress of Theoretical Physics Vol. 24 No. 6 (1960) pp. 1149-1165 :
    On Some Peculiar Role of the Cosmological Constant in the General Theory of Relativity and in the Schrödinger Theory of Non-Symmetric Field
    Hidekazu Nariai and Yoshio Ueno
  4. Progress of Theoretical Physics Vol. 48 No. 5 (1972) pp. 1708-1717 :
    On a New Solution of Einstein's Unified Field Theory
    Klaus Buchner

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