English

On conformally flat initial data for Einstein equations

General Relativity and Quantum Cosmology 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.gr-qc/0409032,
  title  = {On conformally flat initial data for Einstein equations},
  author = {Janusz Karkowski and Edward Malec},
  journal= {arXiv preprint arXiv:gr-qc/0409032},
  year   = {2007}
}

Comments

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)