A Linear-Nonlinear Formulation of Einstein Equations for the Two-Body Problem in General Relativity
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
A formulation of Einstein equations is presented that could yield advantages in the study of collisions of binary compact objects during regimes between linear-nonlinear transitions. The key idea behind this formulation is a separation of the dynamical variables into i) a fixed conformal 3-geometry, ii) a conformal factor possessing nonlinear dynamics and iii) transverse-traceless perturbations of the conformal 3-geometry.
Cite
@article{arxiv.gr-qc/9907005,
title = {A Linear-Nonlinear Formulation of Einstein Equations for the Two-Body Problem in General Relativity},
author = {Pablo Laguna},
journal= {arXiv preprint arXiv:gr-qc/9907005},
year = {2009}
}
Comments
7 pages, no figures