Characteristic numerical relativity applied to hydrodynamic studies of neutron stars
Abstract
We present tests and results of a new axisymmetric, fully general relativistic code capable of solving the coupled Einstein-matter system for a perfect fluid matter field. Our implementation is based on the Bondi metric, by which the spacetime is foliated with a family of outgoing light cones. We use high-resolution shock-capturing schemes to solve the fluid equations. The code can accurately maintain long-term stability of a spherically symmetric, relativistic, polytropic equilibrium model of a neutron star. In axisymmetry, we demonstrate global energy conservation of a perturbed neutron star in a compactified spacetime, for which the total energy radiated away by gravitational waves corresponds to a significant fraction of the Bondi mass.
Cite
@article{arxiv.gr-qc/0011096,
title = {Characteristic numerical relativity applied to hydrodynamic studies of neutron stars},
author = {F. Siebel and J. A. Font and E. Mueller and P. Papadopoulos},
journal= {arXiv preprint arXiv:gr-qc/0011096},
year = {2007}
}
Comments
10 pages, 6 figures, to appear in the proceedings (electronic version) of the Marcel Grossmann Meeting (MG9)