Spectral distortions of the cosmic microwave background radiation due to interaction with the hot gas in a moving cluster: Inclusion of relativistic effects

Astronomy and Astrophysics – Astronomy

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Scientific paper

A relativistic treatment of the spectral effects that arise during the passage of the cosmic microwave background (CMB) radiation through intergalactic gas due to chaotic motion of electrons (thermal effect) and due to the motion of a galaxy cluster as a whole (kinematic effect) is given. The Monte Carlo simulations which were performed by two different methods (i) confirm the existence of the previously proposed relativistic corrections to the thermal effect of the form (kT_e / mec^2)n, where T_e is the gas temperature, and (ii) provide evidence for the presence of additional corrections related to the cluster peculiar motion; the most important correction is proportional to V_r / c x kT_e / mec^2, where V_r is the radial component of the cluster velocity (V). The kinematic effect to an accuracy of (V/c)^4 and the `cross' effect ( propto V_r /c x kT_e / mec^2) are derived analytically. All of the effects under consideration are small and, therefore, additive. The relativistic effects are shown to cause the submillimeter flux from galaxy clusters to increase appreciably. This may facilitate searches for clusters at large redshifts.

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