The motion of galaxy clusters in inhomogeneous cosmologies

Lemaitre-Tolman-Bondi inhomogeneous spacetimes can be used as a cosmological model to account for the type Ia supernova data. However, such models also give rise to large velocities of galaxy clusters with respect to the cosmic microwave background. These velocities can be measured using the kinematic Sunyaev-Zeldovich effect. This paper presents a calculation of galaxy cluster velocities as a function of redshift for such a model.