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Boundary conditions for hyperbolic formulations of the Einstein equations

Simonetta Frittelli·Roberto Gomez
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Abstract

In regards to the initial-boundary value problem of the Einstein equations, we argue that the projection of the Einstein equations along the normal to the boundary yields necessary and appropriate boundary conditions for a wide class of equivalent formulations. We explicitly show that this is so for the Einstein-Christoffel formulation of the Einstein equations in the case of spherical symmetry.

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Simonetta Frittelli, Roberto Gomez. 2003-04-09. Boundary conditions for hyperbolic formulations of the Einstein equations. https://doi.org/10.1088/0264-9381%2F20%2F11%2F327

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