How to Measure Deviation from the Kerr Initial Data: Recent Progress
In these proceedings we will present recent progress concerning a construction of a geometric invariant for initial data sets for the Einstein vacuum field equations. This geometric invariant vanishes if and only if the initial data set corresponds to data for the Kerr spacetime, and thus, it characterizes this type of data. The construction was initially based on Killing spinors, but here we translate the results to tensor language. We can now handle both compact domains and domains reaching the asymptotically flat ends.
T.B. is funded by the Max-Planck-Institute for Gravitational Physics, Albert Einstein Institut.
- 2.Bäckdahl, T., Valiente Kroon, J.: On the construction of a geometric invariant measuring the deviation from Kerr data. Ann. Henri Poincaré 11, 1225 (2010). doi: 10.1007/s00023-010-0063-2