Cauchy-characteristic evolution of Einstein-Klein-Gordon systems

Roberto Gómez, Pablo Laguna, Philippos Papadopoulos, and Jeff Winicour
Phys. Rev. D 54, 4719 – Published 15 October 1996
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Abstract

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 spacelike 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 MR, most notably, with a detailed comparison of invariant observables against reference solutions obtained with a calibrated, global, null algorithm.

  • Received 4 April 1996

DOI:https://doi.org/10.1103/PhysRevD.54.4719

©1996 American Physical Society

Authors & Affiliations

Roberto Gómez1, Pablo Laguna2, Philippos Papadopoulos2, and Jeff Winicour1

  • 1Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
  • 2Department of Astronomy and Astrophysics and Center for Gravitational Physics and Geometry, Penn State University, University Park, Pennsylvania 16802

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Issue

Vol. 54, Iss. 8 — 15 October 1996

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