# Twisted Self-Similarity and the Einstein Vacuum Equations

@inproceedings{ShlapentokhRothman2022TwistedSA, title={Twisted Self-Similarity and the Einstein Vacuum Equations}, author={Yakov Shlapentokh-Rothman}, year={2022} }

In the previous works [RSR19, SR22] we have introduced a new type of self-similarity for the Einstein vacuum equations characterized by the fact that the homothetic vector ﬁeld may be spacelike on the past light cone of the singularity. In this work we give a systematic treatment of this new self-similarity. In particular, we provide geometric characterizations of spacetimes admitting the new symmetry and show the existence and uniqueness of formal expansions around the past null cone of the…

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