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General covariant evolution formalism for numerical relativity

Feb, 2003
5 pages
Published in:
  • Phys.Rev.D 67 (2003) 104005
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Abstract: (arXiv)
A general covariant extension of Einstein\'{}s field equations is considered with a view to Numerical Relativity applications. The basic variables are taken to be the metric tensor and an additional four-vector ZμZ_\mu. Einstein's solutions are recovered when the additional four-vector vanishes, so that the energy and momentum constraints amount to the covariant algebraic condition Zμ=0Z_\mu=0. The extended field equations can be supplemented by suitable coordinate conditions in order to provide symmetric hyperbolic evolution systems: this is actually the case for either harmonic coordinates or normal coordinates with harmonic slicing.
  • 04.25.Dm
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