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Prog. Theor. Phys. Supplement No.133 (1999) pp. 155-181

[ Full Text PDF : FREE ACCESS (247K) ]

Distances in Inhomogeneous Cosmological Models

Kenji Tomita,1,* Hideki Asada2,** and Takashi Hamana3,***

1 Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
2 Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan
3 Astronomical Institute, Tohoku University, Sendai 980-8578, Japan

(Received February 10, 1999)

Abstract:

Distances play important roles in cosmological observations, especially in gravitational lens systems, but there is a problem in determining distances because they are defined in terms of light propagation, which is influenced gravitationally by the inhomogeneities in the universe. In this paper we first give the basic optical relations and the definitions of different distances in inhomogeneous universes. Next we show how the observational relations depend quantitatively on the distances. Finally, we give results for the frequency distribution of different distances and the shear effect on distances obtained using various methods of numerical simulation.


URL : http://ptp.ipap.jp/link?PTPS/133/155/
DOI : 10.1143/PTPS.133.155


*E-mail address: tomita@yukawa.kyoto-u.ac.jp
**E-mail address: asada@phys.hirosaki-u.ac.jp
***E-mail address: hamana@astr.tohoku.ac.jp

[ Full Text PDF : FREE ACCESS (247K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 120 No. 5 (2008) pp. 961-983 :
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  2. Progress of Theoretical Physics Vol. 122 No. 2 (2009) pp. 511-520 :
    Distance-Redshift Relation in a Realistic Inhomogeneous Universe
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  3. Progress of Theoretical Physics Vol. 127 No. 2 (2012) pp. 355-367 :
    Perturbation Theory of Multi-Plane Lens Effects in Terms of Mass Ratios
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  4. Progress of Theoretical Physics Supplement No.133 (1999) pp. 1-51 :
    Gravitational Lensing in Clusters of Galaxies
    Makoto Hattori, Jean-Paul Kneib and Nobuyoshi Makino

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