8.033 | Fall 2024 | Undergraduate

Introduction to Relativity and Spacetime Physics

Calendar

Week 1: Historical Background; Newton and Galileo

  • Lecture 1: Introduction; Newtonian Mechanics and Relativity

Week 2: The Universality of the Speed of Light and Its Consequences

  • Lecture 2: Electromagnetic Radiation and Galilean Relativity
  • Lecture 3: From Galilean Relativity to …?

Week 3: Spacetime

  • Lecture 4: Spacetime, Simultaneity, and the Consequences of Lorentz
  • Lecture 5: Introduction to 4-Vectors

Week 4: Kinematics in Special Relativity (Part I)

  • Lecture 6: Kinematics in Spacetime
  • Lecture 7: 4-Momentum and 4-Velocity

Week 5: Kinematics in Special Relativity (Part II)

  • Lecture 8: Using 4-Momentum

Week 6: The Metric of Spacetime and Tensors

  • Lecture 9: Some More Math: The Metric Tensor, 1-Forms AKA Dual Vectors, Tensors More Generally
  • Lecture 10: Describing Matter in Bulk

Week 7: Describing Matter in Bulk

  • [No new notes: This lecture uses the notes from Lecture 10.]

Week 8: A Covariant Formulation of Electrodynamics (Parts I and II)

  • Lecture 11: A Covariant Formulation of Electrodynamics (Part I)
  • Lecture 12: A Covariant Formulation of Electrodynamics (Part II)

Week 9: Forces and Accelerations; Spacetime According to Accelerating Observers

  • Lecture 13: Accelerations and Forces 
  • Lecture 14: Prelude to Gravity: More on the Uniformly Accelerated Observer

Week 10: Beginning to Incorporate Gravity into Relativity

  • Lecture 15: Introduction to Gravity
  • Lecture 16: The Calculus of Variations, the Principle of Maximum Aging, and the Motion of Bodies in Spacetime

Week 11: The Calculus of Variations; Farewell to Lorentz Spacetimes; The Principle of Equivalence

  • Lecture 17: Goodbye Global Lorentz Frames, Hello Principle of Equivalence; Initial Considerations of Relativistic Gravity
  • Lecture 18: Some Important Solutions of the Einstein Field Equation; Using Those Solutions

Week 12: Relativistic Gravity

  • Lecture 19: From Weak Gravity to Strong Gravity

Week 13: Exploring Strong Gravity

  • Lecture 20: Exploring Strong Gravity

Week 14: Theory Meets Reality

  • Lecture 21: Data on Strong Gravity
  • Lecture 22: Our Universe at Large

Course Info

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As Taught In
Fall 2024
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Lecture Notes