As we mentioned in the previous chapter, the ‘free evolution’ approach is by far the most commonly used today in numerical relativity codes. It consists in using just the evolution equations to compute the full set of dynamical quantities γ ij , K ij ). We have seen that the subset of evolution equations is not unique: evolution equations can be modified by adding constraints in many different ways. This implies that we must distinguish among different versions of free evolution, depending on the particular variant of the evolution equation which is selected in each case.
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Bona, C., Bona-Casas, C., Palenzuela-Luque, C. (2009). Free Evolution. In: Elements of Numerical Relativity and Relativistic Hydrodynamics. Lecture Notes in Physics, vol 783. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01164-1_3
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