General Relativity

Physics 6938, Fall 2007, Florida Atlantic University

Last Updated Wednesday, December 12, 2007 10:23 AM EDT

General Information

• Course Syllabus [PDF]
• Course Outline [PDF]

Announcements

• Posted the Final Exam solution.

Assignments

• Differential Geometry Self-Study Exercises (Due Tuesday, 9 October) [Assignments]
  • Differential Geometry Exercises I (Target Date Thursday, 6 September) [Solution]
  • Differential Geometry Exercises II (Target Date Thursday, 13 September) [Solution]
  • Differential Geometry Exercises III (Target Date Tuesday, 25 September) [Solution]
  • Differential Geometry Exercises IV (Target Date Tuesday, 2 October) [Solution]
  • Differential Geometry Exercises V (Target Date Tuesday, 9 October) [Solution]
• Problem Set I (Due Thursday, 20 September) [Assignment] [Solution]
• Problem Set II (Due Tuesday, 16 October) [Assignment] [Solution]
• Problem Set III (Due Tuesday, 30 October) [Assignment] [Solution]
• Problem Set IV (Due Thursday, November 8) [Assignment] [Solution]
• Problem Set V (Due Friday, December 7) [Assignment] [Solution]
• Final Exam (Due Tuesday, December 11) [Assignment] [Solution]

Resources

• Lectures on Geometry from Summer 2006 (very incomplete) [LaTeX PDF]

Lectures

• Lecture 1: The Principle of Relativity [LaTeX PDF] [Keynote PDF] [Streaming WMV]
• Lecture 2: Relativistic Kinematics [Keynote PDF] [Extra Figure PDF] [Streaming WMV]
• Lecture 3: Relativistic Dynamics [Scanned PDF] [Streaming WMV]
• Lecture 4: The Equivalence Principle [Scanned PDF] [Extra Pages PDF] [Streaming WMV]
• Lecture 5: Gravity and Geometry [Scanned PDF] [Streaming WMV]
• Lecture 6: Vector Spaces [Scanned PDF] ] [Streaming WMV]
• Lecture 7: Differential Geometry [Scanned PDF] [Streaming WMV]
• Lecture 8: Tensor Analysis [Scanned PDF] [Streaming WMV]
• Lecture 9: Diffeomorphisms and the Lie Derivative [Scanned PDF] [Streaming WMV]
• Lecture 10: Connections and Torsion [Scanned PDF] [Streaming WMV]
• Lecture 11: Curvature [Scanned PDF] [Streaming WMV]
• Lecture 12: Riemannian Geometry [Scanned PDF] [Streaming WMV]
• Lecture 13: Structure of the Einstein Equations [Scanned PDF] [Streaming WMV]
• Lecture 14: Post-Minkowski Gravity [Scanned PDF] [Streaming WMV]
• Lecture 15: The Newtonian Limit [Scanned PDF] [Discussion Session PDF] [Streaming WMV]
• Lecture 16: The Schwarzschild Solution [Scanned PDF] [Streaming WMV]
• Lecture 17: Geodesics of the Schwarzschild Geometry [LaTeX PDF] [Scanned PDF] [Streaming WMV]
• Lecture 18: The Schwarzschild Black Hole [Scanned PDF] [Streaming WMV]
• Lecture 19: The Interior of the Schwarzschild Black Hole [Scanned PDF] [Streaming WMV]
• Lecture 20: Black Holes [Scanned PDF] [Streaming WMV]
• Lecture 21: Physics of Black Holes [Scanned PDF] [Streaming WMV]
• Lecture 22: Weak Gravitational Waves [LaTeX PDF] [Scanned PDF] [Streaming WMV]
• Lecture 23: Untitled [Scanned PDF] [Streaming WMV]
• Lecture 24: Energy Loss to Gravitational Radiation [Scanned PDF] [Streaming WMV]
• Lecture 25: Maximal Symmetry [Scanned PDF] [Streaming WMV]
• Lecture 26: Homogeneity and Isotropy [Scanned PDF] [Streaming WMV]
• Lecture 27: The Dynamics of the Universe [Scanned PDF] [Streaming WMV]
• Lecture 28: Cosmological Phenomenology [Scanned PDF] [Streaming WMV]