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arXiv · 1303.4433

Hyperbolicity of Hamiltonian formulations in General Relativity

Ronny Richter·David Hilditch
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Abstract

Well-posedness of the initial (boundary) value problem is an essential property, both of meaningful physical models and of numerical applications. To prove well-posedness of wave-type equations their level of hyperbolicity is an essential ingredient. We develop helpful tools and classify a large class of Hamiltonian versions of Einstein's equations with live gauge conditions with respect to their hyperbolicity. Finally we find a symmetric hyperbolic Hamiltonian formulation that allows for gauge conditions which are similar to the puncture gauge.

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Ronny Richter, David Hilditch. 2013-03-18. Hyperbolicity of Hamiltonian formulations in General Relativity. https://doi.org/10.1088/1742-6596%2F314%2F1%2F012102

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