 The Friedman-Lemaitre-Obertson-Walker metric allows for the definition of absolute time in modern cosmology, but there are models consistent with general relativity that do not allow such a definition and offer the possibility of time travel, such as Kurt Goddell's homogeneous, rotating universe. We use ray tracing to visualize how an observer would perceive the time travel of an object in this universe, providing a new perspective on its space-time structure. This article was authored by M. Boussa, E. Kajari, and W. P. Shleech.