Testing Decoupled Hyperbolic Systems for the Einstein Equations

Details Testing Decoupled Hyperbolic Systems for the Einstein Equations Testing Decoupled Hyperbolic Systems for the Einstein Equations

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.453b&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

We apply first order hyperbolic formalisms for the Einstein equations similar to that of Bona et al. (Phys. Rev. D 56, 3404 (1997)) to a 1D non-linear plane wave. The lapse function is algebraically related to the spatial metric, alpha = Q(xi,t) h^{1/2}, rather than being part of the hyperbolic system. With this choice of lapse and a suitable choice of variables, the hyperbolic systems for the physical mode and the two gauge modes are coupled only through the source terms. Versions of the equations for which both gauge modes propagate along the physical light cones, or one gauge mode propagates along the hypersurface normal, will be compared for numerical accuracy and stability, using the CLAWPACK software package developed by R.J. LeVeque.

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