Isolated horizons in numerical relativity: constructing the excised Kerr spacetime in Dirac gauge
Abstract
Using a constrained formalism for Einstein equations in Dirac gauge, we propose to compute excised quasistationary initial data for black hole spacetimes in full general relativity. Vacuum spacetime settings are numerically constructed by using the isolated horizon formalism; we especially tackle the conformal metric part of our equations, assuming global stationarity. We show that a no-boundary treatment can be used on the horizon for the equation related to the conformal metric. We relate this finding to previous suggestions in the literature, and use our results to assess the widely used conformally flat approximation for computing black hole initial data.
Keywords
Cite
@article{arxiv.1002.4720,
title = {Isolated horizons in numerical relativity: constructing the excised Kerr spacetime in Dirac gauge},
author = {Nicolas Vasset and Jérôme Novak and José Luis Jaramillo},
journal= {arXiv preprint arXiv:1002.4720},
year = {2019}
}
Comments
3 pages, 1 figure; to appear in the proceedings of the 12th Marcel Grossmann meeting on general relativity