and in the Rayleigh-Jeans limit (small x) we find
and so it is seen that the inclusion of the relativistic treatment tends to lead to a small decrease in the SZ effect. The Hubble constant is inferred from combined Sunyaev-Zel'dovich and X-ray data by a relation of the form [66]
The reduction in
in the Rayleigh-Jeans region, for given cluster parameters,
leads to a decrease in the constant of proportionality in
Equation
12
, and hence a small reduction in the determined values of
. For example, it is found that if the cluster temperature is
8keV the reduction in
due to relativistic effects is 5%.
![]() |
The Cosmic Microwave Background
Aled W. Jones and Anthony N. Lasenby http://www.livingreviews.org/lrr-1998-11 © Max-Planck-Gesellschaft. ISSN 1433-8351 Problems/Comments to livrev@aei-potsdam.mpg.de |