## Physics 411: General Relativity |

General Relativity is the theory of gravity developed in the early 20th century. It is often said to be the most beautiful physical theory constructed and its consequences are still being tested today. This class is an introduction to this topic and its application to understanding cosmological phenomena. Topics that will be covered include black holes, early universe cosmology, gravitational waves, and Hawking radiation.

The course materials are provided below. The textbook for the class is Sean Carroll's "Spacetime and Geometry". This book is available from the Reed bookstore and at online booksellers. A link to Carroll's website for the book is provided below.

Link to Carroll's lecture notes

**Final Exam**

The final exam is due at 10 am on December 12 to my office or the box outside my office door.
More details are provided in the pdf for the exam.

FINAL EXAM

**Lecture Notes**

August 27 Introduction and review of Newtonian gravity

August 29 Special Relativity

August 31 Special Relativity

September 5 Manifolds

September 10 Manifolds

September 12 EM with Forms

September 17 Curvature

September 19 Curvature

September 24 Symmetries

September 26 Gravitation

October 1 Einstein's Equations

October 3 Schwarzschild

October 8 More Schwarzschild

October 10 Even More Schwarzschild

October 22 Black Holes

October 24 Charged Black Holes

October 29 Rotating Black Holes

October 31 Gravitational Radiation

November 5 More Gravitational Radiation

November 7 Detection of Gravitational Waves

November 12 Cosmology

November 14 Friedmann Equations

November 19 Our Universe

November 21 Quantum Mechanics and Gravity

November 26 Black Hole Thermodynamics

**Homework Assignments**

Homework 1 Due September 7

Solutions

Homework 2 Due September 14

Solutions

Homework 3 Due September 21

Solutions

Homework 4 Due September 28

Solutions

Homework 5 Due October 5

Solutions

Homework 6 Due October 12

Solutions

Homework 7 Due October 26

Solutions

Homework 8 Due November 2

Solutions

Homework 9 Due November 9

Solutions

Homework 10 Due November 16

Solutions

**Example Final Presentation Topics**

(1) AdS/CFT Correspondence

(2) Randall/Sundrum

(3) LIGO Neutron Star Binary

(4) Star Orbits about Sag A*

(5) 2+1 Dimensional Black Hole

(6) Event Horizon Firewalls

(7) Loop Quantum Gravity

(8) Event Horizon Telescope

(9) Mistaken Announcement of B-Modes in the CMB

(10) Gravitational Lensing

(11) Relativity in GPS

**Talk Tips**