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Last updated:

September 23, 2023

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

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Description

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.

Course Curriculum

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

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