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

Pablo Laguna
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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.

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Pablo Laguna. 1999-07-02. A Linear-Nonlinear Formulation of Einstein Equations for the Two-Body Problem in General Relativity. https://doi.org/10.1103/physrevd.60.084012

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