A Linear-Nonlinear Formulation of Einstein Equations for the Two-Body Problem in General Relativity
arXiv:gr-qc/9907005 · doi:10.1103/PhysRevD.60.084012
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.
7 pages, no figures
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