Consistent discretizations: the Gowdy spacetimes
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
We apply the consistent discretization scheme to general relativity particularized to the Gowdy space-times. This is the first time the framework has been applied in detail in a non-linear generally-covariant gravitational situation with local degrees of freedom. We show that the scheme can be correctly used to numerically evolve the space-times. We show that the resulting numerical schemes are convergent and preserve approximately the constraints as expected.
Cite
@article{arxiv.gr-qc/0505043,
title = {Consistent discretizations: the Gowdy spacetimes},
author = {Rodolfo Gambini and Marcelo Ponce and Jorge Pullin},
journal= {arXiv preprint arXiv:gr-qc/0505043},
year = {2009}
}
Comments
10 pages, 8 figures