On conformally flat initial data for Einstein equations
arXiv:gr-qc/0409032
Abstract
We describe conformally flat initial data, with explicitly given analytic extrinsic curvature solving the vacuum momentum constraints. They follow from a solution of Dain and Friedrich discovered in 2001. The cylindrically symmetric subcase of the Bowen-York solution is a subclass of this general configuration.
It is explained how the solution reported in version 1 of this paper is related to the solution of Dain and Friedrich (gr-qc/0102047)