Peculiar Velocity and Deaberration of the Sky

Recent studies have found the earth’s peculiar velocity to be significant in microwave-background–based tests for compact cosmic topology, and modifications to these tests have been proposed. Tests of non-Gaussianity, weaklensing analysis, and new tests using improved cosmic microwave background (CMB) data will also be sensitive to peculiar velocity. We propose here to simplify matters by showing how to construct a deaberrated CMB map to which any test requiring a Hubble flow view point can be applied without further complication. In a similar manner, deaberration can also be applied to object surveys used, for example, in topological searches and matter distribution analysis. In particular, we have produced a revised list of objects with z >1:0 using the NASA/IPAC Extragalactic Database. Subject headinggs: cosmic microwave background — large-scale structure of universe — quasars: general — relativity