Cauchy-characteristic Evolution of Einstein-Klein-Gordon Systems

Details Cauchy-characteristic Evolution of Einstein-Klein-Gordon Systems Cauchy-characteristic Evolution of Einstein-Klein-Gordon Systems

1996-03-29

arxiv.org/abs/gr-qc/9603060v1

Phys.Rev.D54:4719-4727,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Submitted to Phys. Rev. D, 16 pages, revtex, 7 figures available at http://nr.astro.psu.edu:8080/preprints.html

Scientific paper

10.1103/PhysRevD.54.4719

A Cauchy-characteristic initial value problem for the Einstein-Klein-Gordon system with spherical symmetry is presented. Initial data are specified on the union of a space-like and null hypersurface. The development of the data is obtained with the combination of a constrained Cauchy evolution in the interior domain and a characteristic evolution in the exterior, asymptotically flat region. The matching interface between the space-like and characteristic foliations is constructed by imposing continuity conditions on metric, extrinsic curvature and scalar field variables, ensuring smoothness across the matching surface. The accuracy of the method is established for all ranges of $M/R$, most notably, with a detailed comparison of invariant observables against reference solutions obtained with a calibrated, global, null algorithm.

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