Can time travel ever be achieved within the framework of general relativity?

Time travel has long captivated human imagination, spanning numerous works of fiction and philosophical debates. Within the realm of modern physics, general relativity—Einstein's revolutionary theory—offers intriguing possibilities that hint at the feasibility of time travel. Solutions to Einstein's equations, such as wormholes and the concept of closed timelike curves, present a theoretical basis for traveling back and forth in time. However, these solutions often require conditions, like negative energy or exotic matter, that challenge the known laws of physics. Exploring the potential of time travel within general relativity not only tests the limits of scientific understanding but also raises perplexing paradoxes and questions about causality. So, is it truly possible to navigate through time, or are these theoretical constructs merely mathematical curiosities devoid of physical reality?