Wojciech Kamiński (University of Warsaw).
Conformal Einstein’s equations.
Vanishing of the Fefferman-Graham obstruction tensor was proposed by Anderson and Chrusciel as a tool for studying asymptotically simple solutions to Einstein’s equations. It is a conformally covariant equation and a stronger condition: every lambda-vacuum solution in any even dimension has vanishing Fefferman-Graham tensor. The equation is an alternative for known Friedrich’s construction of conformal version of Einstein’s equations. The important property is well-posedness of this equation. It is nontrivial because the principal symbol has multiple characteristics. However, Fefferman-Graham tensor as well as conformal powers of Laplacians share a structure that imply some version of hyperbolicity. I will discuss this in my talk.

GRIEG collaboration project: SCREAM workshop 2021.

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