Asymptotically Flat Initial Data for Gravitational Wave Spacetimes, Conformal Compactification and Conformal Symmetry

摘要

We study the utilization of conformal compactification within the conformalapproach to solving the constraints of general relativity for asymptoticallyflat initial data. After a general discussion of the framework, particularattention is paid to simplifications that arise when restricting to a class ofinitial data which have a certain $U(1)\times U(1)$ conformal symmetry.