Sachs-Wolfe effect in some anisotropic models

Astronomy and Astrophysics – Astrophysics

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17 pages

Scientific paper

In this work it is shown that there are some spatially homogeneous but anisotropic models (Kantowski-Sachs and Bianchi type-III), with a positive cosmological constant, for which the inhomogeneities in the distribution of matter on the surface of the last scattering produce anisotropies (in large angular scales $\vartheta \gtrsim 10^\circ$) that do not differ from the ones produced in Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) models, if the density parameters are finely tuned. Namely, for adiabatic initial conditions, the Sachs-Wolfe effect in these anisotropic models is equal to the one obtained for isotropic models: ${\delta T \over T}={1 \over 3}\Psi_e+ 2 \int \limits_e^r{\partial \Psi \over \partial \eta}dw.$ This result confirms the idea developed in previous works that with the present cosmological tests we cannot distinguish these anisotropic models from the FLRW models, if the Hubble parameters along the orthogonal directions are assumed to be approximately equal.

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