This is a talk that was given in the Rutgers Graduate/Undergraduate Online Seminar in Mathematical Physics (GUOSIMP). We host talks every other week on Thursdays from 12:10pm to 1:10pm EST.
Check out our website: https://sites.math.rutgers.edu/~laf23...
Speaker: Eric Ling
Accessibility of Talk: Beginner
Date: July 2nd, 2020
Title: A Geometrical Introduction to General Relativity
Abstract: In this talk, we give an introduction to general relativity
focusing on its geometrical aspects. We show how the curvature of
spacetime describes gravity through its warping of geodesics. The Einstein
equations will be discussed along with the Schwarzschild spacetime which
is a solution of the equations describing a black hole. Penrose's
singularity theorem will be presented along with its strengths and
weaknesses. We will then briefly review cosmology and discuss relevant
cosmological singularity theorems. Lastly, we will show how a class of k =
-1 inflationary FLRW spacetimes called "Milne-like" admit spacetime
extensions through the big bang.