Abstract
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 Einstein’s solutions are recovered when the additional four-vector vanishes, so that the energy and momentum constraints amount to the covariant algebraic condition 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.
- Received 18 December 2002
DOI:https://doi.org/10.1103/PhysRevD.67.104005
©2003 American Physical Society