I'm proposing an independent study for my school, and I was wondering if this course seems even possible to do. It follows the MIT 8.962 course, General Relativity, and the Calendar is virtually taken from their syllabus. It goes:(adsbygoogle = window.adsbygoogle || []).push({});

Week 1

Set up computer, familiarize with the text

Week 2

Geometric Viewpoint on Physics in Flat Spacetime: Vectors and Dual Vectors, Tensors;

Special Relativity

Week 3

Geometric Viewpoint on Physics in Flat Spacetime: Energy and Momentum, Conserved Currents, Stress Energy Tensor;

Transformation Law for Tensors

Week 4

Metric in a Curved Space;

Orthonormal and Coordinate Bases; Derivatives; Tensor Densities; Differential Forms and Integration;

Gauge/Coordinate Transformations

Week 5

Metric in a Curved Space (cont.);

Orthonormal and Coordinate Bases; Derivatives; Tensor Densities; Differential Forms and Integration (cont.);

Gauge/Coordinate Transformations (cont.)

Week 6

Connection and Curvature, Geodesics;

Introduction to Curvature

Week 7

Curvature Continued: Geodesic Deviation, Bianchi Identity;

Killing Vectors and Symmetries

Week 8

Einstein's Equation and Gravitation;

Cosmological Constant;

Hilbert Action

Week 9

Weak Field/Linearized General Relativity;

Spacetime of an Isolated Weakly Gravitating Body

Week 10

Gravitational Waves

Week 11

Gravitational Lensing

Week 12

Cosmology;

Distance Measures and Redshift;

Our Universe

Week 13

Schwarzschild Solution;

Birkhoff's Theorem, Metric of a Spherical "Star"

Week 14

Black Holes;

Collapse to Black Hole; Orbits of a Black Hole;

Kerr and Reissner-Nordstrom Solutions

Week 15

Advanced Topics and Current Research in General Relativity

Week 16

Use fragments of thesis and sew them together, choose and plan lecture

Week 17

Deliver lecture; Edit thesis

Week 18

Turn in peer-reviewed thesis

The thesis will be probably 15-25 pages, and the lecture will be approximately 30 minutes long. I plan to meet with an advisor approximately every week, who will assess my knowledge of the topics I learned in the previous week. Does this seem possible? Also, I have DG under my belt, so the only math subject I'd be unfamiliar with would be tensor analysis.

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# Courses Is this course possible?

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