 It might happen that a singularity is stable under small variations of the true gravitational degrees of freedom, and yet it is not generic because the singularity depends in some way on the coordinate system, or rather on the choice of the initial hypersurface from which the spacetime is evolved.For a system of non-linear differential equations, such as the Einstein equations, a general solution is not unambiguously defined.In principle, there may be multiple general integrals, and each of those may contain only a finite subset of all possible initial conditions.