Combining Cauchy and characteristic codes. II. The interface problem for vacuum cylindrical symmetry

Details Combining Cauchy and characteristic codes. II. The interface problem for vacuum cylindrical symmetry Combining Cauchy and characteristic codes. II. The interface problem for vacuum cylindrical symmetry

Dec 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phrvd..52.6868d&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 52, Issue 12, 15 December 1995, pp.6868-6881

Physics

21

Numerical Relativity, Asymptotic Structure, Wave Propagation And Interactions

Scientific paper

This paper continues a series investigating methods of combining Cauchy and characteristic techniques in numerical relativity. We present a technique for passing gravitational wave information between an inner Cauchy region and an outer, compactified, characteristic region via a numerical interface. In this developmental work the method is applied to vacuum cylindrical spacetime with two degrees of gravitational freedom. A comparison of our numerial results with an analytic solution, and a number of numerical experiments involving the propagation of Gaussian wave packets, indicate that the techniques presented here can produce very satisfactory results.

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