Elliptica: a new pseudo-spectral code for the construction of initial data

Understand

Numerical studies of the dynamics of gravitational systems, e.g., black hole-neutron star systems, require physical and constraint-satisfying initial data.

• In this article, we present the newly developed pseudo-spectral code Elliptica, an infrastructure for construction of initial data for various binary and single gravitational systems of all kinds.
• The elliptic equations under consideration are solved on a single spatial hypersurface of the spacetime manifold.
• Using coordinate maps, the hypersurface is covered by patches whose boundaries can adapt to the surface of the compact objects.