We propose a new method to use the Kinetic Sunyaev-Zeldovich for measuring the baryon fraction in cluster of galaxies. In this proposal we need a configuration that a supernova Type Ia resides in a brightest central galaxy of low redshift cluster of galaxy. We show that this supernova Type Ia can be used to measure the bulk velocity of a galaxy cluster in low redshifts where the main contribution to the standard candles distance modulus deviation from background prediction comes from peculiar velocity of the host. Then we argue that by the knowledge of the bulk flow of the galaxy cluster and the Cosmic microwave background photons temperature change due to kSZ, we can constrain the baryon fraction of galaxy cluster. The probability of this configuration for clusters in low redshift $z < 0.15$ is obtained. We estimate that in a conservative parameter estimation the large synoptic survey telescope can find $\sim 30$ galaxy clusters in low redshift with a bright central galaxy which host a type Ia Supernova. Finally, we show that the improving of the distance modulus measurement in future surveys is crucial to detect the baryon fraction of cluster with the proposed method.
Tue, 7 Mar 17
Comments: 9 pages, 5 figures, submitted to Physical Review D