Student Differential Geometry Seminar — Fall 2020: Special and General Relativity
- Mondays, 3:30 PM to 4:30 PM – starting Monday August 31, 2020.
Welcome to the webpage for the Fall 2020 iteration of the SDGS! This semester, we will be covering Special and General Relativity. The seminar shouldn’t require any prerequisite knowledge. By the end of it, you should have all the background material necessary for the Spring semester topics course on Mathematical General Relativity by Marcus Khuri.
In particular, the first talk will be on the history of Special Relativity. Going from light as a wave moving through the Aether, to the speed of light being constant and the derivation of Lorentz transformations. The next few weeks will be on Special Relativity and the classic “paradox” inducing thought experiments. After that we start with General Relativity. The last half to a third of the seminar will be entirely on understanding Schwarzchild blackhole metric.
Any suggestions are welcome!
- Introduction to Electro Dynamics by Griffiths.
- Semi Remannian Geometry with Applications to Relativity by O’Neil.
|Speaker||Date||Topic||Zoom Recording||Additional Content|
|Jordan Rainone||08/31/2020||Brief History of Special Relativity||Click here. Passcode: jYS3##@y|
|Joshua R. Leeman||09/14/2020||Classical Physics & EM||Click here. Passcode: GMPPR2?7|
|Matthew Dannenberg||09/21/2020||“Paradoxes” of Special Relativity||Click here. Passcode: 5wmd!7tw|
|Lisandra Hernandez||09/28/2020||A Crash Course in Riemannian Geometry||Click here. Passcode: 1BZE1u=v|
|Paul Sweeney||10/05/2020||Lorentzian Geometry||Click here. Passcode: 3c#9aDAK|
|Jordan Rainone||10/12/2020||Deriving the Einstein Equations||Click here. Passcode: *4Fgj?N1|
|Yeorgia Kafkoulis||10/19/2020||A brief introduction to cosmology and the Friedmann-Robertson-Walker Cosmological Model||Click here. Passcode: !q1Vv=F4|
|Jared Krandel||10/26/2020||Derivation of the Schwarzschild metric||Click here. Passcode: 7jt#m9?k)|
|Dan Brogan||11/02/2020||Schwarzschild Geodesics||Click here. Passcode: .h0&28X5|
|Mohamad Rabah||11/09/2020||Penrose Diagrams & Kruskal Coordinates||Click here. Passcode: z2RYt$E7||References: Lecture Notes – 5.6 & 5.7 in Sean Carroll’s “Spacetime and Geometry” – Pages 386 - 395 in O’Neill’s “Semi Riemannian Geometry” – 11.4 in Choquet Bruhat’s “General Relativity”|
|Joshua Leeman||11/16/2020||Falling into a Blackhole||Click here. Passcode: 0Gmc*LEc||Additional Content: Journey into a Schwarzschild black hole.|
|Paul Sweeney||11/30/2020||Rotating Blackholes||Click here. Passcode: .q7iGUe8|
|Marcus Khuri||12/07/2020||Shape of the Universe||Click here. Passcode: G?0!s?LL|