General-covariant constraint-free evolution system for Numerical Relativity
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
A general covariant extension of Einstein's field equations is considered with a view to Numerical Relativity applications. The basic variables are taken to be the metric tensor and an additional four-vector. The extended field equations, when supplemented by suitable coordinate conditions, determine the time evolution of all these variables without any constraint. Einstein's solutions are recovered when the additional four-vector vanishes, so that the energy and momentum constraints hold true. The extended system is well posed when using the natural extension of either harmonic coordinates or the harmonic slicing condition in normal coordinates
Cite
@article{arxiv.gr-qc/0209082,
title = {General-covariant constraint-free evolution system for Numerical Relativity},
author = {C. Bona and T. Ledvinka and C. Palenzuela and M. Zacek},
journal= {arXiv preprint arXiv:gr-qc/0209082},
year = {2007}
}
Comments
3 pages, submitted to PRL