Non-chaotic vacuum singularities without symmetries

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Written by Paul Klinger

The BKL conjecture proposes a detailed description of the generic asymptotic dynamics of spacetimes as they approach a spacelike singularity. It predicts complicated chaotic behaviour in the generic case, but simpler non-chaotic one in cases with symmetry assumptions or certain kinds of matter fields. Here we use Fuchsian methods to construct a new class of four-dimensional vacuum spacetimes containing spacelike singularities which show non-chaotic behaviour. In contrast with previous constructions, no symmetry assumptions are made. Analogous solutions exist for the case of non-zero cosmological constant and with timelike instead of spacelike singularity.