Einstein's evolution equations as a system of balance laws

Details Einstein's evolution equations as a system of balance laws Einstein's evolution equations as a system of balance laws

Aug 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..40.1022b&link_type=abstract

Physical Review D (Particles and Fields), Volume 40, Issue 4, 15 August 1989, pp.1022-1026

Physics

25

Scientific paper

The evolution system in the space plus time (3+1) decomposition of Einstein's field equations is explicitly written as a system of balance laws. This is achieved by demanding that the time coordinate be harmonic (harmonic synchronization) and the space coordinate lines be normal to the constant-time hypersurfaces. No symmetry nor special form of the metric has been assumed, so that the equations may be used as a part of a three-dimensional numerical code for general relativity. The particular case of spherical symmetry is also considered and a numerical test of this case is provided by using a nonstandard form of the Schwarzschild line element.

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