We find necessary and sufficient conditions ensuring that the vacuum development of an initial data set of the Einstein's field equations admits a conformal Killing vector.
We refer to these conditions as conformal Killing initial data (CKID) and they extend the well‐known Killing initial data that have been known for a long time. The strategy used to find the CKID is a classical argument involving wave‐like "propagation equations".
Time permitting, I will how similar strategies might succeed or fail for other geometric equations, like e.g. Killing‐Yano
Ighor Khavkine (Prag): Conformal Killing Initial Data
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