Stable numerical simulation of Einstein equations in gravitational collapse space--time
General Relativity and Quantum Cosmology
2022-07-07 v3
Abstract
We perform simulations in a gravitational collapsing model using the Einstein equations. In this paper, we review the equations for constructing the initial values and the evolution form of the Einstein equations called the BSSN formulation. In addition, since we treat a nonvacuum case, we review the evolution equations of the matter fields of a perfect fluid. To make the simulations stable, we propose a modified system, which decreases numerical errors in analysis, and we actually perform stable simulations with decreased numerical errors.
Cite
@article{arxiv.2203.05149,
title = {Stable numerical simulation of Einstein equations in gravitational collapse space--time},
author = {Takuya Tsuchiya and Ryosuke Urakawa and Gen Yoneda},
journal= {arXiv preprint arXiv:2203.05149},
year = {2022}
}
Comments
8 pages, 4 figures