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

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

1999-07-02

arxiv.org/abs/gr-qc/9907005v1

Phys.Rev. D60 (1999) 084012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figures

Scientific paper

10.1103/PhysRevD.60.084012

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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