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Prog. Theor. Phys. Vol. 82 No. 3 (1989) pp. 563-580

[ Full Text PDF : FREE ACCESS (722K) ]

Gravitational Lens Effect on the Cosmic Background Radiation Due to Nonlinear Inhomogeneities

Kenji Tomita and Kazuya Watanabe

Research Institute for Theoretical Physics, Hiroshima University, Takehara 725

(Received April 24, 1989)

Abstract:

Null geodesic equations are numerically solved, in order to investigate the light propagation in inhomogeneous cosmological models. The models are derived using the N body simulation method and assuming for simplicity that clusters of galaxies are regarded as particles. Statistical properties of angular fluctuations of light paths and angular correlation functions of the cosmic background radiation are studied. It is shown that the angular fluctuations due to gravitational lensing depend much on the average particle size r and the correlation angle θc of the intrinsic density perturbations at the recombination epoch. If r is equal to or smaller than the size of the Coma cluster and θc≤5 arcmin, the lens effect may play a role to decrease the finite-beam-smeared temperature fluctuations of the cosmic background radiation by about 20%, compared with those in the no-lens case, while the non-smeared temperature fluctuations are enhanced for angeles ≤8 arcmin. If r is larger than the above size and θc is equal to about 8 arcmin consistent with the most prevailing cosmological models, however, the lens effect is very small. Moreover it is shown that the dispersion of the fluctuations in different directions is not small, so that the fluctuations may be considerable in a special deirection, and that the dependence of the fluctuations on the spatial correlation of particles is small.


URL : http://ptp.ipap.jp/link?PTP/82/563/
DOI : 10.1143/PTP.82.563

[ Full Text PDF : FREE ACCESS (722K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 85 No. 5 (1991) pp. 1023-1039 :
    Large Angle Anisotropy of the Cosmic Microwave Background in an Open Universe
    Naoteru Gouda, Naoshi Sugiyama and Misao Sasaki
  2. 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
  3. Progress of Theoretical Physics Vol. 87 No. 2 (1992) pp. 367-385 :
    Magnitude-Number Count Relation of Galaxies in an Inhomogeneous Universe
    Kazuya Watanabe
  4. Progress of Theoretical Physics Vol. 88 No. 5 (1992) pp. 803-844 :
    Perturbations of the Cosmic Microwave Background Radiation and Structure Formations
    Naoshi Sugiyama and Naoteru Gouda
  5. Progress of Theoretical Physics Vol. 89 No. 3 (1993) pp. 581-597 :
    General Relativistic Description of a Realistic Inhomogeneous Universe
    Toshifumi Futamase
  6. Progress of Theoretical Physics Vol. 99 No. 1 (1998) pp. 97-108 :
    Cosmological Simulation of Gravitational Weak Lensing in Flat Models
    Kenji Tomita
  7. Progress of Theoretical Physics Vol. 100 No. 1 (1998) pp. 79-90 :
    Angular Diameter Distances in Clumpy Friedmann Universes
    Kenji Tomita
  8. Progress of Theoretical Physics Supplement No.133 (1999) pp. 85-113 :
    Various Approaches to Cosmological Gravitational Lensing in Inhomogeneous Models
    Kenji Tomita, Premana Premadi and Takahiro T. Nakamura

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