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Prog. Theor. Phys. Vol. 124 No. 1 (2010) pp. 163-180

[ Full Text PDF : FREE ACCESS (188K) ]

Analytic Formulae for the Off-Center CMB Anisotropy in a General Spherically Symmetric Universe

Hideo Kodama,1,* Keiki Saito2,** and Akihiro Ishibashi1,***

1KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, Tsukuba 305-0801, Japan
2Department of Particles and Nuclear Physics, The Graduate University for Advanced Studies (SOKENDAI), Tsukuba 305-0801, Japan

(Received May 10, 2010)

Abstract:

The local void model has recently attracted considerable attention because it can explain the apparent accelerated expansion of the present universe without introducing dark energy. However, in order to justify this model as an alternative to the standard ΛCDM cosmology, the model should be tested by various observations, such as the CMB temperature anisotropy, besides the distance-redshift relation of SNIa. For this purpose, we derive analytic formulae for the dipole and quadrupole moments of the CMB temperature anisotropy that hold for any spherically symmetric universe model and can be used to compare consequences of such a model with observations of the CMB temperature anisotropy rigorously. We check that our formulae are consistent with the numerical studies previously made for the CMB temperature anisotropy in the void model. We also update the constraints concerning the location of the observers in the void model by applying our analytic dipole formula with the latest WMAP data.

Subject Index : 400, 401, 402, 403, 468
URL : http://ptp.ipap.jp/link?PTP/124/163/
DOI : 10.1143/PTP.124.163


*E-mail: hideo.kodama@kek.jp
**E-mail: saitok@post.kek.jp
***E-mail: akihiro.ishibashi@kek.jp

[ Full Text PDF : FREE ACCESS (188K) ] Citation:

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Citing Article(s) :

  1. 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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