In 1949, the famous mathematician Kurt Gödel found a solution to Albert Einstein's field equations of general relativity that described a rotating universe. This solution is known as the Gödel Universe. One of the intriguing aspects of the Gödel Universe is that it permits the existence of closed timelike curves (CTCs). Closed timelike curves are paths in spacetime that, if followed, would allow an object to return to its own past. In other words, it suggests the possibility of time travel within the framework of general relativity. Gödel's solution involves a universe that is rotating on a large scale. The matter in this universe is in a constant state of rotation, and its rotation generates a frame-dragging effect. This means that the fabric of spacetime itself is being twisted by the rotation, causing a sort of dragging motion for nearby objects. The presence of CTCs in the Gödel Universe arises due to the unique nature of spacetime curvature caused by the rotation. The paths of particles or light in this universe can form closed loops, allowing for potential time travel. The existence of CTCs in the Gödel Universe is purely theoretical and still a subject of debate among physicists. Time travel to the past, as allowed by CTCs, raises many paradoxes and logical inconsistencies, such as the famous grandfather paradox. These paradoxes challenge our current understanding of causality and the nature of time.