### Emanuele Berti

Professor, Johns Hopkins University

# Teaching

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

## 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 Lane-Emden equation. Plot the mass-radius curve and verify the Chandrasekhar limit.

• Integrate the Tolman-Oppenheimer-Volkoff equations for an ideal neutron gas and reproduce the results in the Oppenheimer-Volkoff paper (in particular, the upper limit on the mass).

• Challenge: study the two classical papers on slowly rotating relativistic stars by Hartle and Hartle-Thorne. Reproduce the results using the Hartle-Thorne.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