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Fully-constrained formulation of Einstein's field equations using ...

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Constrained<br />

<strong>formulation</strong> <strong>of</strong><br />

Einstein<br />

<strong>equations</strong><br />

Jérôme Novak<br />

Introduction<br />

Constraints<br />

Motivations<br />

Formulation<br />

Conformal<br />

decomposition<br />

Equations<br />

Strategy<br />

Simulations<br />

Gravitational<br />

Waves<br />

Neutron stars<br />

Summary<br />

Stationary axisymmetric models<br />

Deviation from conformal flatness<br />

For all components (except h rϕ and h θϕ ,<br />

which are null), h ij max ∼ 0.005 (up to ∼ 0.02<br />

in more compact cases)<br />

⇒comparable with γθθ − γϕϕ in<br />

quasi-isotropic gauge

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