A Linear-Nonlinear Formulation of Einstein Equations for the Two-Body Problem in General Relativity

Pablo Laguna

Published 1999-07-02Version 1

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.