Professor: Marilena LoVerde

email: marilena.loverde {{ AT }} stonybrook.edu

Office: Math 6-103

Course Website: http://insti.physics.sunysb.edu/~marilena/GR.html

Lectures: Wednesday and Friday 8:30AM - 9:50AM, Physics 127

Office Hours: Thursday 10:30-11:30AM, Math 6-103

Grading: 30% Homework, 30% Midterm, 40% Final Exam.

Homework 1

Homework 1 Solutions

Homework 2

Homework 3

Homework 3 Solutions

Homework 4

Homework 4 Solutions

Last Year's Midterm

Last Year's Midterm problem 1

Last Year's Midterm problem 2

Last Year's Midterm problem 3

Homework 5

Homework 5 Solutions

Homework 6

Homework 6 Solutions

Homework 7

Homework 7 Solutions

Homework 8

Homework 8 Solutions

FINAL EXAM

LIGO paper accompanying the final

A helpful discussion of the ``special relativity on a torus" problem in Homework 1 can be found in this paper by Weeks . A key feature of this universe is that there is a preferred observer who sees the matching condition for the torus to be simultaneous. Observers at rest in that frame see images of themself (in the past) that are the same age when looking in either direction. Note that even though a surface of simultaneity for the moving observer includes future images of themselves, those images are space-like separated so the moving observer still only recieves information from the past.

Andrew Hamilton's page with animations about different types of black holes and different coordinate systems

Further reading on the Kerr metric: Book chapter by Matt Visser