Hyperbolicity of Hamiltonian formulations in General Relativity
General Relativity and Quantum Cosmology
2013-03-20 v1
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.
Keywords
Cite
@article{arxiv.1303.4433,
title = {Hyperbolicity of Hamiltonian formulations in General Relativity},
author = {Ronny Richter and David Hilditch},
journal= {arXiv preprint arXiv:1303.4433},
year = {2013}
}
Comments
Proceedings of the Spanish Relativity Meeting ERE 2010