Numerical Relativity. I. The Characteristic Initial Value Problem

Details Numerical Relativity. I. The Characteristic Initial Value Problem Numerical Relativity. I. The Characteristic Initial Value Problem

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982rspsa.384..427s&link_type=abstract

Proceedings of The Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 384, Issue 1787, pp. 427-454

Physics

19

Scientific paper

In this, the first of a series of papers on numerical relativity, the characteristic initial value problem is posed in a form suitable for numerical integration. It can be reduced to the solution of two initial value problems for sets of ordinary differential equations (on the initial surfaces) and the solution of two initial value problems for hyperbolic systems of equations, one linear, one quasilinear. The initial data may be specified freely. Subsequent papers will develop numerical solutions of Einstein's equations with use of this formalism.

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