Teaching
This page hosts the syllabus, homework assignments, and other relevant information for AS.171.708 (Gravitational Waves).
Syllabus
Homework

Homework #1 (due 2/24):

Complete the derivation of the equation of state for degenerate fermions [cf. Eq. (2.3.6) and (2.3.8) of ST]. Write a numerical code to integrate the LaneEmden equation. Plot the massradius curve and verify the Chandrasekhar limit.

Integrate the TolmanOppenheimerVolkoff equations for an ideal neutron gas and reproduce the results in the OppenheimerVolkoff paper (in particular, the upper limit on the mass).

Challenge: study the two classical papers on slowly rotating relativistic stars by Hartle and HartleThorne. Reproduce the results using the HartleThorne.nb Mathematica notebook on Paolo Pani’s webpage and try to write an integrator to find the rotational corrections to the stellar properties at second order.


Homework #2 (due ASAP):

Problems 6.2, 6.4, 6.5, 6.3, 7.2, 7.5 from PW

Challenge: Problem 7.9 from PW
