Nonexistence of conformally flat slices in Kerr and other stationary spacetimes.
It is proved that stationary solutions to the vacuum Einstein field equations with a nonvanishing angular momentum have no Cauchy slice that is maximal, conformally flat, and nonboosted. The proof is based on results coming from a certain type of asymptotic expansion near null and spatial infinity--which also show that the development of Bowen-York-type data cannot have a development admitting a smooth null infinity--and from the fact that stationary solutions do admit a smooth null infinity.
Kroon
Juan Antonio Valiente
JA
Institut für Theoretische Physik der Universität Wien, Boltzmanngasse 5, 1090 Vienna, Austria. jav@ap.univie.ac.at