Numerical Relativity
is the solution of Einstein's equations for gravity using numerical methods. There are many approaches to this, the one used most at Vanderibllt is the BSSN formalism and the division of space-time into a 3+1 foliation, so that time is again explicit. The equations divide into a set of elliptic PDEs to solve for the initial data, the so-called Energy and Momentum constraints (4 PDEs), and are then evolved in "time" with a (mostly?) hyperbolic PDE.
The above approach is used in the Einstein Toolkit https://einsteintoolkit.org/ . The toolkit can handle matter, i.e. neutron stars, and is often used for merging binary black holes.
Another approach using spectral decomposition methods is used in the SPec code from the Simulating Extreme Spacetimes collaboration (SXS) at https://www.black-holes.org/ .
Einstein Toolkit Installs
Install Dell XPS 15
Install CentOS 7 (walle)
Install ACCRE
Run on ACCRE
Install Development Version On ACCRE
Other Resources
Baumgarte lectures in India 2013. Go to YouTube and search "Numerical Relativity Baumgarte" or these links https://www.youtube.com/user/ICTStalks for the complete Summer School videos. That 2013 school website is at https://www.icts.res.in/program/NRP2013 .
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