Black hole initial data from a non-conformal decomposition
General Relativity and Quantum Cosmology
2009-11-10 v2
Abstract
We present an alternative approach to setting initial data in general relativity. We do not use a conformal decomposition, but instead express the 3-metric in terms of a given unit vector field and one unknown scalar field. In the case of axisymmetry, we have written a program to solve the resulting nonlinear elliptic equation. We have obtained solutions, both numerically and from a linearized analytic method, for a general perturbation of Schwarzschild.
Cite
@article{arxiv.gr-qc/0310011,
title = {Black hole initial data from a non-conformal decomposition},
author = {Nigel T. Bishop and Florian Beyer and Michael Koppitz},
journal= {arXiv preprint arXiv:gr-qc/0310011},
year = {2009}
}
Comments
6 pages, 4 figures