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Prog. Theor. Phys. Vol. 24 No. 3 (1960) pp. 593-613

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On the Concept of Regraduation in General Relativity

Hidekazu Nariai and Yoshio Ueno

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

(Received April 30, 1960)

Abstract:

An attempt is made to develop a theory of regraduation of scales and clocks in the general theory of relativity as one of methodological approaches to examine the interrelationship between space-time and gravitation. The relation between the orthodox formalism of general relativity and its reinterpretations based on the flat space-time is made clear, and the problem of a particular (“conformal”) regraduation is investigated in detail.


URL : http://ptp.ipap.jp/link?PTP/24/593/
DOI : 10.1143/PTP.24.593

[ Full Text PDF : FREE ACCESS (1244K) ] Citation:

References:

  1. E. A. Milne and G. J. Whitrow, Zs. f. Ap. 15 (1938), 263.
    E. A. Milne, Kinematic Relativity (Oxford, 1948).
  2. H. P. Robertson, Astrophys. J. 82 (1935), 284[CrossRef]; ibid. 83 (1936), 187[CrossRef].
  3. A. G. Walker, Proc. Lond. Math. Soc. 42 (1937), 90.
  4. See, for example, W. Rindler, M. N. 116 (1956), 355.
  5. A. G. Walker, Proc. R. Soc. Edinburgh 62 (1946), 164.
  6. G. C. McVittie, Proc. R. Soc. Edinburgh 62 (1945), 147.
  7. (i) G. D. Birkhoff, Proc. Nat. Acad. Sci. 29 (1943), 231; ibid. 30 (1944), 324.
    A. Barajas, Proc. Nat. Acad. Sci. 30 (1944), 54.
    (ii) J. L. Synge, Proc. R. Soc. A 211 (1952), 303.
    A. Schild, Proc. R. Soc. A 235 (1956), 202.
    (iii) R. H. Dicke, Rev. Mod. Phys. 29 (1957), 355[APS]; ibid. 29 (1957), 363[APS].
  8. N. Rosen, Phys. Rev. 57 (1940), 147[APS]; ibid. 57 (1940), 150[APS].
    M. Kohler, Z. Physik 131 (1952), 571.
    S. N. Gupta, Phys. Rev. 96 (1954), 1683[APS]; Rev. Mod. Phys. 29 (1957), 334[APS].
  9. H. Nariai and Y. Ueno, Prog. Theor. Phys. 20 (1958), 703[PTP].
  10. R. Carnap, Introductory remarks of “The Philosophy of Space and Time” by H. Reichenbach (New York, 1956).
  11. B. Hoffmann, Phys. Rev. 89 (1953), 49[APS]; ibid. 89 (1953), 52[APS].
  12. Various papers by E. T. Whittaker, W. O. Kermack, W. H. McCrea, I. M. H. Etherington and A. G. Walker. (See, G. Temple, Proc. R. Soc. A 168 (1938), 122).
    E. Newmann and J. N. Goldberg, Phys. Rev. 114 (1959), 1391[APS].
  13. P. Jordan, Schwerkraft and Weltall (Braunschweig, 1955).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 27 No. 3 (1962) pp. 483-510 :
    On the Invariant Spatial Distance in a Curved Space-Time with Spherical Symmetry
    Hidekazu Nariai
  2. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 1824-1843 :
    Hamiltonian Approach to the Dynamics of Expanding Homogeneous Universes in the Brans-Dicke Cosmology
    Hidekazu Nariai

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