Mayer Hall 5301
Monday and Wednesday, 12:30- 1:50
There will be a homework assigned every 2-3 weeks (approximately)
There will be a final project or take home exam
Grade will be a combination of 60% homework, 30% final project/exam, 10% participation
Monday & Wednesday: 4pm
With: Prof. Grinstein
Mayer Hall 5230
Office hours will continue until the earlier of 4pm or all students leaving
Additional office hours will be arranged upon request
From the UCSD course catalogue: This is a two-quarter course on gravitation and the general theory of relativity. The first quarter is intended to be offered every year and may be taken independently of the second quarter. The second quarter will be offered in alternate years. Topics covered in the first quarter include special relativity, differential geometry, the equivalence principle, the Einstein field equations, and experimental and observational tests of gravitation theories. The second quarter will focus on more advanced topics, including gravitational collapse, Schwarzschild and Kerr geometries, black holes, gravitational radiation, cosmology, and quantum gravitation.
Review of elements of differential geometry. Maps between manifolds, pull-back, push forward. Diffeomorphisms. Derivatives without connection: exterior and Lie. Isometries, Killing Vectors.
Generalities. Minkowski space as an excuse to learn about causal structure and Penrose diagrams. de Sitter space. Causality (out of order). Horizons. Anti de Sitter space.
Homogeneous and Isotropic Spaces. FRW metric. Friedmann Equations. Distance measurements; Age of Universe.
Schwarzschild Metric. Birkhoff's Theorem. Singularities. Geodesics. Red Shift. Kruskal coordinates and extension. Penrose Diagrams.
More General Black Holes. Charged Holes. Spinning Holes. Penrose Process, Hawking Temperature.
Distinguished Professor of Physics
Prof . Grinstein is a Theoretical Physicist. His main research interests are in the areas of particle physics and cosmology. Learn more about his recent work on his website.