Delve into advanced topics in General Relativity through this comprehensive lecture series honoring the centennial of Amal Kumar Raychaudhuri. Explore key concepts including Schwarzschild black holes, spacetime geometry and topology, geodesics, singularity theorems, and black hole thermodynamics. Gain insights into classical aspects of gravity and quantum behavior in gravitational backgrounds. Delivered by Prof. Sunil Mukhi, this online course spans ten sessions, covering fundamental principles and cutting-edge research areas in general relativity and cosmology.