General Relativity with Handwritten Notes

Course Description

Course DescriptionThis is a graduate course at the Tata Institute of Fundamental Research, Mumbai, intended primarily for students in the Department of Theoretical Physics.

Several textbooks will be used during the course. A list of textbooks on this subject can be found here or by visiting the links section:

One book I might end up following closely is ''General Relativity'' by Robert Wald. The list of contents of this book is a reasonable guide to what I intend to present in the course:
- Introduction
- Manifolds and Tensor Fields
- Curvature
- Einstein's Equation
- The Schwarzschild Solution
- Homogeneous, Isotropic Cosmology

Another textbook recommended is a friendly introduction to general relativity, called "Spacetime and Geometry" by Sean Carroll. It can be found under the Read Textbook button.

General Relativity with Handwritten Notes
The cover of "Spacetime and Geometry" by Sean Carroll, a textbook recommended for this course. Click the "Read Textbook" button to read it.
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Video Lectures & Study Materials

Visit the official course website for more study materials: http://www.tifr.res.in/~mukhi/GR/sm-gr.html

# Lecture Play Lecture Notes & Slides Assignments
1 The Birth of General Relativity (48:52) Play Video Lecture Notes
2 Beyond Newtonian Gravity (1:32:15) Play Video Lecture Notes
3 Review of Relativistic Electrodynamics (1:16:00) Play Video Lecture Notes
4 Inertial Frames and the Principles of Equivalence (1:26:03) Play Video Lecture Notes
5 Geodesic Equation for Spacetime (1:29:04) Play Video Lecture Notes
6 Curvature of Spacetime (1:24:12) Play Video Lecture Notes
7 Uniqueness & Examples of Curvature Tensor (53:20) Play Video Lecture Notes Problem Set
8 Obtaining Einstein’s Equations as Euler-Lagrange Equations (1:33:41) Play Video Lecture Notes
9 Freely-falling Frames & Physical Observations in a Metric (1:11:44) Play Video Lecture Notes
10 Conservation Laws and Killing Vectors (1:12:45) Play Video Lecture Notes
11 Vacuum Solutions of the Einstein Field Equations (1:22:42) Play Video Lecture Notes
12 Particle Motion in a Schwarzschild Metric (58:27) Play Video Lecture Notes
13 Massless Particles (1:17:49) Play Video Lecture Notes
14 Schwarzschild Black Holes (1:27:42) Play Video Lecture Notes
15 Properties of the Schwarzschild Black Hole (1:26:37) Play Video Lecture Notes Problem Set
16 Properties of the Schwarzschild Black Hole II (1:25:28) Play Video Lecture Notes
17 Penrose Diagrams (1:25:40) Play Video Lecture Notes
18 The Copernican Principle (1:30:45) Play Video Lecture Notes
19 Solution to Einstein’s Static Universe (1:23:12) Play Video Lecture Notes
20 Evolving, Homogeneous, Isotopic Universe (1:04:01) Play Video Lecture Notes
21 Calculating the Age of the Universe (1:15:01) Play Video Lecture Notes Problem Set
22 Cosmological Evolution in the Presence of a Scalar Field (1:30:30) Play Video Lecture Notes

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