Course Information

Syllabus

Homework

 

Lectures

 

 

 

 

General Relativity Lectures, Notes

 

 

Lecture, September 10, 2010: Lorentz transformation, addition of velocities, notation

Lecture 3A

Lecture 3B

 

 

Lecture, September 13, 2010: Basis vectors, transformation law for basis vectors; curves and 4-velocity.

Lecture 4

 

Question: What is your research about?

Answer (20 minute version):    Research Primer

For more research information, go to Field Theory Group

 

 

Lecture, September 15, 2010: 4-velocity and 4-momentum. Relativistic generalization of energy, momentum and NewtonÕs 2nd law.

Lecture 5

 

 

Lecture, September 17, 2010: Null 4-momentum. Compton scattering. Motion with constant acceleration.

Lecture 6

In addition to recordings, Joe Slansky has also provided digital copies of his notes from the lecture:

Notes 6a

Notes 6b

Notes 6c

 

Lecture, September 20, 2010 (Charles Torre): Introduction to general relativity using Maple.

Introduction to Maple Worksheet (zipped)

 

Lecture, September 22, 2010: Tensors and forms

Lecture 8

 

Lecture, September 24, 2010: Finish chapter 3, tensors

Lecture 9

 

Lecture, September 27, 2010: Fluids

Lecture 10

 

Lecture, September 29, 2010: Stress-energy tensor of dust

Lecture 11

 

 

Lecture, September 20, 2010 (Charles Torre): Tensor analysis in Euclidean space using Maple.

Tensor analysis in Euclidean space (zipped)

 

 

Lecture, October 28, 2010: Geometry of the 2-sphere

Geometry of the 2-sphere

 

 

December Notes

 

Geodesics in Schwarzschild geometry

 

Circular Null Orbits in Schwarzschild geometry

 

Singularity and horizon in Schwarzschild geometry

 

Cosmology

 

 

 

 

Course Information

Syllabus

Homework

 

Lectures