A Connection Approach to Numerical Relativity
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
We discuss a general formalism for numerically evolving initial data in general relativity in which the (complex) Ashtekar connection and the Newman-Penrose scalars are taken as the dynamical variables. In the generic case three gauge constraints and twelve reality conditions must be solved. The analysis is applied to a Petrov type \{1111\} planar spacetime where we find a spatially constant volume element to be an appropriate coordinate gauge choice.
Cite
@article{arxiv.gr-qc/9403040,
title = {A Connection Approach to Numerical Relativity},
author = {D. C. Salisbury and L. C. Shepley},
journal= {arXiv preprint arXiv:gr-qc/9403040},
year = {2010}
}
Comments
17 pages, LaTex