Gravitational temperature decrease of the microwave background radiation towards rich clusters of galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Background Radiation, Galactic Clusters, Gravitational Effects, Microwave Emission, Astronomical Models, Red Shift, Temperature Profiles, Time Lag

Scientific paper

The gravitational effects of clusters of galaxies on the microwave background radiation are investigated in the frame of the inhomogeneous vacuole model, where a cluster is represented by a high density Friedmann solution, separated by an empty Schwarzschild zone from the lower density Friedmann universe. The Dyer (1976) result is verified also for clusters in contraction, a particularly interesting case with respect to the observational situation. It should be recalled that only frequency effects are to be looked for in the microwave background radiation case, since the Liouville theorem implies the impossiblity of a magnitude effect. Following a description of the model, and with the basic equations of the problem written out, the redshift effect and the time delay correction at lowest order are determined. The case of very rich contracting clusters is studied in detail, and the present theoretical result is compared to observations and to the Sunyaev-Zel'dovich effect.

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