Abstract
The kinematic Sunyaev-Zel’dovich(kSZ) effect in a Lemitre-Tolman-Bondi(LTB) universe is discussed. We use the LTB universe model whose distance redshift relation coincides with the concordance ΛCDM model. The physical degrees of freedom on the last scattering surface(LSS) are fixed by using the Gamow’s criterion and other additional convenient conditions. We simulate the kSZ effect by solving null geodesic equations numerically. It seems to be difficult to explain observational results with adiabatic inhomogeneities on the LSS. This difficulty would be resolved by introducing the inhomogeneity of the matter to photon ratio on the LSS, which corresponds to the isocurvature perturbation.
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