Relativistic Cosmology and the Pioneers Anomaly

We specify the four kinds of rotational cosmologies that are avaliable in Theoretical Cosmology. NASA spacecrafts has suffered from three anomalies. The Pioneers spacecrafts were decelerated, and their spin when not disturbed, was declining. On the other hand, fly-bys for gravity assists, appeared with extra speeds, relative to infinity. The Pioneers and fly-by anomalies are given now exact general relativistic full general solutions, in a rotating expanding Universe.We cite new evidence on the rotation of the Universe. Our solution seems to be the only one that solves the three anomalies.