English

Conformal Superspace: the configuration space of general relativity

General Relativity and Quantum Cosmology 2010-09-21 v1

Abstract

It has long been considered that conformal superspace is the natural configuration space for canonical general relativity. However, this was never definitively demonstrated. We have found that the standard conformal method of solving the Einstein constraints has an unexpected extra symmetry. This allows us to complete the project. We show that given a point and a velocity in conformal superspace, the Einstein equations generate a unique curve in conformal superspace.

Keywords

Cite

@article{arxiv.1009.3559,
  title  = {Conformal Superspace: the configuration space of general relativity},
  author = {Julian Barbour and Niall Ó Murchadha},
  journal= {arXiv preprint arXiv:1009.3559},
  year   = {2010}
}