There are several great texts on numerical relativity. The
one I used primarily is M. Shibata’s book [1]. His work lays out in great
detail many different aspects of numerical relativity in general, including the
BSSN moving puncture method in Cartesian coordinates.
The basic evolution equations
(in vacuum) are:
where:
[1] Shibata, Masaru. Numerical Relativity (100 Years of General Relativity). World Scientific Publishing Co. Pte Ltd.
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