Metric Tensor | What is a metric tensor | General Relativity | Metric tensor in general relativity

#metrictensor #whatismetrictensor #metrictensoringeneralrelativity

What is metric tensor? Metric tensor is the most important concept in General Relativity. In this video, I have given a detailed idea on the metric tensor of General Relativity and the need of metric tensor, an intuitive and easy understanding to the overall concept in Einstein's field equations.

00:00 - 02:49 - Introduction
02:50 - 03:15 - The approach
03:16 - 04:55 - Components of Einstein's field equations
04:56 - 09:32 - What is a metric tensor?
09:33 - 12:31 - Why do we need a metric tensor?
12:32 - 15:42 - Graphical description of a metric tensor?
15:43 - 26:24 - Tangent vectors, tangent space & tangent bundles
26:25 - 28:08 - Summarizing the understanding
28:09 - 30:57 - Metric tensor for dummies
30:58 - 35:22 - From Euclidean coordinate to non Euclidean coordinate
35:23 - 36:00 - Metric in different dimensions
36:01 - 37:10 - Calculating the arc length
37:11 - 42:31 - Metric tensor in other coordinates
42:32 - 51:56 - Rubber sheet analogy
51:57 - 54:44 - How does the metric tensor help?
54:45 - 57:16 - General relativity, topology and manifolds
57:17 - 01:07:28 - Does metric tensor define gravitation?
01:07:29 - 01:07:40 - Take a break
01:07:41 - 01:12:42 - The symmetric nature of metric tensor
01:12:43 - 01:14:07 - Physical meaning of metric tensor
01:14:08 - 01:29:29 - The mathematics of metric tensor
01:29:30 - 01:31:58 - Summary

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