Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...319..729c&link_type=abstract
Astronomy and Astrophysics, v.319, p.729-736
Astronomy and Astrophysics
Astrophysics
Cosmic Microwave Background, Cosmology: Theory, Large-Scale Structure Of The Universe
Scientific paper
We consider the effects on the Cosmic Background Radiation (CBR) of a single, spherically symmetric structure using the Tolman-Bondi solutions in a closed universe. The exact frequency shift of a photon passing through the center of a lump which is located between the last scattering surface and an observer is calculated. An approximate expression of the frequency shift ({DELTA}ν_0_)/(ν_0_) to the first order of δ(x) (the density contrast) is given. We find that there are several redshifts of the perturbing lump where the net frequency shift is zero. With increasing {OMEGA}, the first positions of zero frequency shift move toward lower redshift; the larger the value of {OMEGA}, the further they move. At the vicinity of the last scattering surface, where the universe is close to flat, the frequency shift will always be the same as that for a flat universe.
Chen Daguang
Shen Yue
Song Guohui
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