Einstein manifolds in Ashtekar variables: explicit examples
High Energy Physics - Theory
2008-02-03 v2 General Relativity and Quantum Cosmology
Abstract
We show that all solutions to the vacuum Einstein field equations may be mapped to instanton configurations of the Ashtekar variables. These solutions are characterized by properties of the moduli space of the instantons. We exhibit explicit forms of these configurations for several well-known solutions, and indicate a systematic way to get new ones. Some interesting examples of these new solutions are described.
Keywords
Cite
@article{arxiv.hep-th/9207056,
title = {Einstein manifolds in Ashtekar variables: explicit examples},
author = {Lay Nam Chang and Chopin Soo},
journal= {arXiv preprint arXiv:hep-th/9207056},
year = {2008}
}
Comments
32 pages, uses harvmac, VPI-IHEP-92-5