The initial value problem in numerical relativity
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
The conformal method for constructing initial data for Einstein's equations is presented in both the Hamiltonian and Lagrangian picture (extrinsic curvature decomposition and conformal thin sandwich formalism, respectively), and advantages due to the recent introduction of a weight-function in the extrinsic curvature decomposition are discussed. I then describe recent progress in numerical techniques to solve the resulting elliptic equations, and explore innovative approaches toward the construction of astrophysically realistic initial data for binary black hole simulations.
Cite
@article{arxiv.gr-qc/0412002,
title = {The initial value problem in numerical relativity},
author = {Harald P. Pfeiffer},
journal= {arXiv preprint arXiv:gr-qc/0412002},
year = {2007}
}
Comments
Contribution to the proceedings of "Miami Waves Conference 2004", 24 pages