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Prog. Theor. Phys. Vol. 85 No. 5 (1991) pp. 1041-1047

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Post-Newtonian Equations of Motion in Flat Cosmological Models

Kenji Tomita

Uji Research Center, Yukawa Institute for Theoretical Physics, Kyoto University, Uji 611

(Received February 13, 1991)

Abstract:

The post-Newtonian equations of motion for particles in an expanding universe are derived in spatially flat models with cosmological constant. This system of equations is an extended version of the previous one which was derived in the Einstein-de Sitter model. The applicability condition is also examined and some errors found in the previous expressions are indicated and corrected.


URL : http://ptp.ipap.jp/link?PTP/85/1041/
DOI : 10.1143/PTP.85.1041

[ Full Text PDF : FREE ACCESS (226K) ] Citation:


References:

  1. K. Tomita, Prog. Theor. Phys. 79 (1988), 258[PTP].
  2. A. Eddington and G. L. Clark, Proc. Roy. Soc. London 166A (1938), 465.
  3. T. Futamase, Phys. Rev. Lett. 61 (1988), 2175[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 86 No. 2 (1991) pp. 389-399 :
    A New Description for a Realistic Inhomogeneous Universe in General Relativity
    Toshifumi Futamase
  2. Progress of Theoretical Physics Supplement No.133 (1999) pp. 155-181 :
    Distances in Inhomogeneous Cosmological Models
    Kenji Tomita, Hideki Asada and Takashi Hamana