Towards a stable numerical evolution of strongly gravitating systems in general relativity: The conformal treatments
Towards a stable numerical evolution of strongly gravitating systems in general relativity: The conformal treatments
We study the stability of three-dimensional numerical evolutions of the Einstein equations, comparing the standard ADM formulation to variations on a family of formulations that separate out the conformal and traceless parts of the system. We develop an implementation of the conformal-traceless (CT) approach that has improved stability properties in …