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1
Introduction
2
Disclaimers
3
Motivations
4
Cosmology and Black Holes
5
Practicalities
6
Spacetime
7
Topology
8
Manifolds
9
Metric
10
Metric Topology
11
Open Balls
12
Open Sets
13
Romanian Metric
14
Openness
15
Properties of a manifold
16
Connected disconnected
17
Progression
18
Metric Induced Topology
19
Manifold
20
Distance
21
Space
22
Metric signature
23
Distance in space
24
Minkowski Space Time
25
Important Point
26
Coordinate System
Description:
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.

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

International Centre for Theoretical Sciences
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