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Emanuele Berti

Professor, Johns Hopkins University

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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 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