Physics 4445, Introduction to General Relativity Fall 2010 Topics for September 2-September 9: Metrics; manipulations of tensor indices. Reading for September 2-September 9: Read Chapter 5, 7.1-7.5 of Hartle. Problem Set 2, due Thursday, September 9. Cons
Physics 4445, Introduction to General Relativity Fall 2010
Prelim Solutions
1) (10 pts) Let g be a general metric in (3+1) dimensions, with inverse g ; denote the Kronecker delta by ; and let v be a vector field. a) (5 pts) Simplify g - 1 g g g g g . 4 So
Physics 4445, Introduction to General Relativity Fall 2010 Prelim, October 14. 100 points total.
1) (10 pts) Let g be a general metric in (3+1) dimensions, with inverse g ; denote the Kronecker delta by ; and let v be a vector field.
1 a) (5 pts) Simplify
Physics 4445, Introduction to General Relativity Fall 2010 Topics for November 23-December 2: Review primary topics covered in the course. Review reading for November 23-December 2: Review the following items: 1) The Principle of Equivalence. 2) The Least
Physics 4445, Introduction to General Relativity Fall 2010 Topics for October 19 - October 28: Covariant derivatives and Riemann curvature.
Reading for October 19 - October 28: Read Chapters 20 and 21 of Hartle. Problem Set 7, due Thursday, October 28. 1)
Physics 4445, Introduction to General Relativity Fall 2010 Topics for August 26- September 2: Review of special relativity.
Reading for August 26- September 2: Skim Chapters 1, 2 of Hartle. Read Chapters 3 and 4 of Hartle. Optional: Read pp. 1-78 of Relat
Physics 4445, Introduction to General Relativity Fall 2010
Further information for Problem Set 2, due Thursday, September 9.
The inverse metric is denoted by g . It obeys g g = with the Kronecker delta. Under a change of coordinates x (x), the metric tran
Physics 4445, Introduction to General Relativity Fall 2010 Topic for September 9-September 16: Geodesics. Reading for September 9-September 16: Read Chapters 6 and 8 of Hartle. Problem Set 3, due Thursday, September 16. 1) Consider a rank (0,1) tensor A ,
Physics 4445, Introduction to General Relativity Fall 2010 Topics for September 16-September 23: Clocks in gravitational fields.
Reading for September 16-September 23: Read Chapters 6 and 7 of Hartle. Problem Set 4, due Thursday, September 23. 1) Hartle,
Physics 4445, Introduction to General Relativity Fall 2010 Topics for September 23-September 30: Killing vectors and Schwarzschild black holes.
Reading for September 23-September 30: Read Chapter 9 of Hartle. Problem Set 5, due Thursday, September 30. 1)
Physics 4445, Introduction to General Relativity Fall 2010 Topics for September 30-October 7: Schwarzschild black holes.
Reading for September 30-October 7: Read Chapter 9 of Hartle. Problem Set 6, due Thursday, October 7. 1) Hartle, Chapter 9, problem 3.
Physics 4445, Introduction to General Relativity Fall 2010 Topic for October 28-November 4: The Einstein equations in vacuum.
Reading for October 28-November 4: Read Chapter 21 of Hartle. Problem Set 8, due Thursday, November 4. 1) Hartle, Chapter 21, pro
Physics 4445, Introduction to General Relativity Fall 2010 Topics for November 4-November 11: FRW cosmology.
Reading for November 4-November 11: Read Chapter 18 of Hartle. You can get useful background information about cosmology in Chapter 17. Problem Se
Physics 4445, Introduction to General Relativity Fall 2010 Topic for November 11-November 18: FRW cosmology.
Reading for November 11-November 18: Reread Chapter 18 of Hartle. You may enjoy reading Chapter 19. Problem Set 10, due Thursday, November 18. 1)
Physics 4445, Introduction to General Relativity Fall 2010 Topics for November 18-November 30: The Einstein equation with matter sources. Reading for November 18-November 30: Read Chapter 22 of Hartle. Problem Set 11, due Tuesday, November 30. 1) Compute