Advanced General Relativity - A Centennial Tribute to Amal Kumar Raychaudhuri - Lecture 1

Explore advanced concepts in general relativity through this comprehensive lecture series honoring Amal Kumar Raychaudhuri's centennial. Delve into topics such as basic general relativity, Schwarzschild black holes, spacetime geometry and topology, geodesics, singularity theorems, black hole properties, and thermal characteristics of Rindler space. Gain insights into current research in classical gravity and quantum behavior in gravitational backgrounds. Cover essential mathematical foundations, including manifolds, metrics, and topology, while examining practical applications in cosmology and black hole physics. Participate in this in-depth exploration of general relativity, led by Prof. Sunil Mukhi, to enhance your understanding of this fundamental field in theoretical physics.

Introduction
Disclaimers
Motivations
Cosmology and Black Holes
Practicalities
Spacetime
Topology
Manifolds
Metric
Metric Topology
Open Balls
Open Sets
Romanian Metric
Openness
Properties of a manifold
Connected disconnected
Progression
Metric Induced Topology
Manifold
Distance
Space
Metric signature
Distance in space
Minkowski Space Time
Important Point
Coordinate System