PHYS 515 :: Physics Illinois :: University of Illinois at Urbana-Champaign

Schedule

Lectures will take place on Tuesdays and Thursdays from 13:00pm - 14:20pm in 222 Loomis Laboratory.
Recordings of the lectures will be posted on mediaspace.

Starting in week 2, homework sets will be available on this website on Tuesdays after the lecture. They are due the following Tuesday before 11:55 p.m. Central US and must be submitted online via my physics.
In general, you are allowed to use computer algebra software, like Maple, Mathematica, or Python, unless stated otherwise. If you use computer algebra software, together with your PDF solution, you must provide a well-formatted printout of your code. You are not allowed to use computer algebra packages, such as grTensor or xTensor (or similar), to calculate tensorial quantities.

If you have any issues logging in to view any of the secured documents below, please try adding "uofi\" (without the quotes) in front of your netid.

The lecture notes are included here for your convenience. However, they are not a replacement for a textbook! PLEASE DON'T SHARE THE LECTURE NOTES!

For details on semester dates, registration deadlines, etc. please check the Academic calendar.

Week Date Lecture Homework
1-hour paper review
1 Tue 08/27/2024

Introduction to the course

Lecture notes 1


L1. Special Relativity

 
Thu 08/29/2024

L2. Special Relativity

Lecture notes 2

 
2 Tue 09/03/2024

L3. Lorentz transformations

Lecture notes 3

HW 1 assigned
 

Thu 09/05/2024

L4. Vectors and 1-forms

Lecture notes 4

 
3 Tue 09/10/2024

L5. Tensors

Lecture notes 5

HW 1 due
HW 2 assigned
 
Thu 09/12/2024

L6. Tensors
Physics in flat spacetimes

Lecture notes 6

paper review 1 due
4 Tue 09/17/2024

L7. Physics in flat spacetimes

Lecture notes 7

HW 2 due
HW 3 assigned
 
Thu 09/19/2024

L8. Manifolds

Lecture notes 8 

 
5 Tue 09/24/2024

L9. Manifolds

Lecture notes 9 

HW 3 due
HW 4 assigned
 
Thu 09/26/2024

L10. Tensors in curved spacetimes

Lecture notes 10 

 
6 Tue 10/01/2024

L11. Tensors in curved spacetimes

Lecture notes 11 

HW 4 due
HW 5 assigned
 
Thu 10/03/2024

L12.Covariant derivatives

Lecture notes 12 

paper review 2 due
7 Tue 10/08/2024

L13. Geodesics

Lecture notes 13

HW 5 due
No homework assigned
Thu 10/10/2024

L14. Geodesics

Lecture notes 14

 
8 Tue 10/15/2024 MIDTERM EXAM No homework due
HW 6 assigned
 
Thu 10/17/2024

L15. Riemann curvature

Lecture notes 15

 
9 Tue 10/22/2024

L16. Killing vectors

Lecture notes 16

HW 6 due
HW 7 assigned
 
Thu 10/24/2024

L17. Symmetries

Lecture notes 17

paper review 3 due
10 Tue 10/29/2024

L18. Einstein's equations

Lecture notes 18

HW 7 due
HW 8 assigned
 
Thu 10/31/2024

L19. Lagrangian derivation of Einstein's equations 

Lecture notes 19

 
11 Tue 11/05/2024

L20. Energy conditions

Lecture notes 20

HW 8 due
HW 9 assigned
 
Thu 11/07/2024

L21. Schwarzschild metric and Birkhoff's theorem

Lecture notes 21

 
12 Tue 11/12/2024

L22. Geodesics of Schwarzchild

Lecture notes 22

HW 9 due
HW 10 assigned
 
Thu 11/14/2024

L23. Stars in General Relativity

Lecture notes 23

paper review 4 due
13 Tue 11/19/2024

L24. TOV equations and black holes

Lecture notes 24

HW 10 due
HW 11 assigned
 
Thu 11/21/2024

L25. Black holes

Lecture notes 25

Lecture notes 25+

 
14 11/23/2024 -- 12/01/2024 Fall Break  
15 Tue 12/03/2024

L26. More about black holes

Linearized Einstein's equations

Lecture notes 26

HW 11 due
HW 12 assigned
Thu 12/05/2024

L27. Gravitational waves

Lecture notes 27

 
16 Tue 12/10/2024

L28. Cosmology

Lecture notes 28

HW 12 due
Thu 12/12/2024 Reading Day
Fr 12/13/2024 -- Mo 12/16/2024 Final Exam