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Prog. Theor. Phys. Vol. 79 No. 4 (1988) pp. 777-789

[ Full Text PDF : FREE ACCESS (464K) ]

The Triangulation in a Perturbed Friedmann Universe

Masumi Kasai

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725

(Received December 14, 1987)

Abstract:

A formula for the parallax distance in a general space-time is shown and it is applied to the linearly perturbed Friedmann universe. Its invariance under any coordinate-gauge transformations and any infinitesimal affine transformations is also shown. Then it is applied to the Einstein-de Sitter background model, and it is found that the perturbed space-time behaves as a Friedmann-like universe with the direction-dependent H0 and q0.


URL : http://ptp.ipap.jp/link?PTP/79/777/
DOI : 10.1143/PTP.79.777

[ Full Text PDF : FREE ACCESS (464K) ] Citation:


References:

  1. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), p. 485.
  2. G. F. R. Ellis, in General Relativity and Cosmology, ed. B. K. Sachs (Academic Press, New York, 1971), p. 153.
  3. W. McCrea, Zs. Astrophys. 9 (1935), 290.
  4. I. D. Novikov, Sov. Astron. 21 (1977), 406.
  5. N. S. Kardashev, Sov. Astron. 30 (1986), 501.
  6. D. T. Wilkinson, in Early Evolution of the Universe and Its Present Structure (IAU Sympos. No. 104), ed. G. O. Abell and G. Chincarini (Reidel, Dordrecht, 1983).
  7. p. 429 of Ref. 1).
  8. M. Sasaki, Mon. Not. R. Astron. Soc. 228 (1987), 653.
  9. S. W. Hawking and G. F. R. Ellis, The Large-Scale Structure of Space-Time (Cambridge University Press, Cambridge, 1973), p. 87.
  10. J. M. Bardeen, Phys. Rev. D22 (1980), 1882[APS].
  11. H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl. No. 78 (1984), 1[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 117 No. 6 (2007) pp. 1067-1075 :
    Apparent Acceleration through Large-Scale Inhomogeneities
    Masumi Kasai