Abstract
The Sunyaev-Zel'dovich effect (SZE) provides a powerful tool for
cosmological studies. Through recent advances in instrumentation and
observational techniques it is now possible to obtain high quality
measurements of the effect toward galaxy clusters. The analysis of the
SZE toward a few tens of clusters has already led to interesting
constraints on the Hubble constant and the mass density of the
universe. In the near future, instruments exploiting the redshift
independence of the SZE will be used to conduct deep surveys for
galaxy clusters providing detailed information on the growth of large
scale structure, tests of cosmological models and tight constraints on
the cosmological parameters that describe our universe. In this review
we provide an overview of the SZE and its use for cosmological
studies. We summarize the current state of observations and the
constraints on cosmological parameters already obtained and we discuss
the power of using the SZE for future deep cluster surveys.
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