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Gravity and Light

Gravity and Light (2015, The WE-Heraeus International Winter School). Instructor: Dr. Frederic P. Schuller. As part of the world-wide celebrations of the 100th anniversary of Einstein's theory of general relativity and the International Year of Light 2015, the Scientific Organizing Committee makes available the central 24 lectures by Frederic P. Schuller.

Titled "A thorough introduction to the theory of general relativity", the lectures introduce the mathematical and physical foundations of the theory in 24 self-contained lectures. The material is developed step by step from first principles and aims at an audience ranging from ambitious undergraduate students to beginning PhD students in mathematics and physics.

Satellite Lectures by Bernard F Schutz (Gravitational Waves), Domenico Giulini (Canonical Formulation of Gravity), Marcus C Werner (Gravitational Lensing) and Valeria Pettorino (Cosmic Microwave Background) expand on the topics of this central lecture course and take students to the research frontier.

Topology


Lecture 01 - Topology
Lecture 02 - Topological Manifolds
Lecture 03 - Multilinear Algebra
Lecture 04 - Differentiable Manifolds
Lecture 05 - Tangent Spaces
Lecture 06 - Fields
Lecture 07 - Connections
Lecture 08 - Parallel Transport and Curvature
Lecture 09 - Newtonian Spacetime is Curved!
Lecture 10 - Metric Manifolds
Lecture 11 - Symmetry
Lecture 12 - Integration on Manifolds
Lecture 13 - Spacetime
Lecture 14 - Matter
Lecture 15 - Einstein Gravity
Lecture 16 - Optical Geometry I
Lecture 17 - Optical Geometry II
Lecture 18 - Canonical Formulation of General Relativity I
Lecture 19 - Canonical Formulation of General Relativity II
Lecture 20 - Cosmology - The Early Epoch
Lecture 21 - Cosmology - The Late Epoch
Lecture 22 - Black Holes
Lecture 23 - Penrose Diagrams
Lecture 24 - Perturbation Theory I
Lecture 25 - Perturbation Theory II
Lecture 26 - How Quantizable Matter Gravitates
Lecture 27 - Sources of Gravitational Waves
Lecture 28 - How to Detect Gravitational Waves

Related Links
The WE-Heraeus International Winter School on Gravity and Light
Tutorial 1: Topology. Tutorial 2: Topological Manifolds. Tutorial 3: Multilinear Algebra. Tutorial 4: Differentiable Manifolds. Tutorial 5: Tangent Spaces. Tutorial 6: Fields. Tutorial 7: Connections. ...