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Prog. Theor. Phys. Vol. 120 No. 5 (2008) pp. 937-960

[ Full Text PDF : FREE ACCESS (838K) ]

Solving the Inverse Problem with Inhomogeneous Universes

Chul-Moon Yoo,1,3 Tomohiro Kai2 and Ken-ichi Nakao2

1Yukawa Institute for Theoretical Physics,
Kyoto University, Kyoto 606-8502, Japan
2Department of Physics, Graduate School of Science,
 Osaka City University, Osaka 558-8585, Japan
3Asia Pacific Center for Theoretical Physics,
Pohang University of Science and Technology, Pohang 790-784, Korea

(Received July 7, 2008)

Abstract:

We construct the Lemaître-Tolman-Bondi (LTB) dust universe whose distance-redshift relation is equivalent to that in the concordance Λ cold dark matter (ΛCDM) cosmological model. In our model, the density distribution and velocity field are not homogeneous, whereas the big-bang time is uniform, which implies that the universe is homogeneous at its beginning. We also study the effects of local clumpiness in the density distribution as well as the effects of large-scale inhomogeneities on the distance-redshift relation, and show that these effects may reduce the amplitude of large-scale inhomogeneities necessary for having a distance-redshift relation that is the same as that of the concordance ΛCDM universe. We also study the temporal variation of the cosmological redshift and show that, by the observation of this quantity, we can distinguish our LTB universe model from the concordance ΛCDM model, even if their redshift-distance relations are equivalent to each other.


URL : http://ptp.ipap.jp/link?PTP/120/937/
DOI : 10.1143/PTP.120.937

[ Full Text PDF : FREE ACCESS (838K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 121 No. 6 (2009) pp. 1381-1387 :
    Five Point Mass Gravitational Lenses in a Rhombus as a Soluble Model Giving the Maximum Number of Images
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  2. Progress of Theoretical Physics Vol. 124 No. 1 (2010) pp. 163-180 :
    Analytic Formulae for the Off-Center CMB Anisotropy in a General Spherically Symmetric Universe
    Hideo Kodama, Keiki Saito and Akihiro Ishibashi
  3. Progress of Theoretical Physics Vol. 124 No. 4 (2010) pp. 645-665 :
    A Note on the Inverse Problem with LTB Universes
    Chul-Moon Yoo
  4. Progress of Theoretical Physics Vol. 125 No. 4 (2011) pp. 815-836 :
    The Gravitational Lensing Effect on the CMB Polarisation Anisotropy in the Λ-LTB Model
    Hajime Goto and Hideo Kodama

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