LTCC 5 week course - GRTLCollaboration/engrenage GitHub Wiki

These materials support the course at the London Taught Course Centre, run in February-March 2025.

The complete final assessment is here (some typos corrected in this version, still only asymptotically typo free): FinalAssessment.pdf And the deadline for submission of this by email is 5pm on Wednesday 30 April 2025

And the lecture notes are here: LTCC_LectureNotes.pdf

Week 1 material

This week we will review the basic principles of numerical relativity and the ADM formalism, and extend them to the BSSN reference metric formulation used in the code. We will check the derivations of the constraint equations in this formulation, and implement the momentum constraint, using the existing code for the hamiltonian constraint as a starting point.

Week 2 material

This week we will review the basic principles of numerical methods, and test convergence of the constraint equations in the code.

Week 3 material

This week we will review the formulation of initial data, and implement the Kerr Schild black hole metric in the code.

Week 4 material

This week we will review the lapse and shift, the effect of dynamical gauges and the implications for the gauge dependence of diagnostics.

Week 5 material

This week we will discuss the inclusion of matter, (non) conservation of energy and momentum with curvature included and the particular example of scalar fields that is given in the code.