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Cauchy-perturbative matching and outer boundary conditions: Methods and tests

M. E. Rupright

A. M. Abrahams

L. Rezzolla

  • Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599-3255

  • Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801;
  • NCSA, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801;
  • J. P. Morgan, 60 Wall St., New York, New York 10260

  • Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
  • NCSA, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

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Phys. Rev. D 58, 044005 – Published 6 July, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.044005

Abstract

We present a new method of extracting gravitational radiation from three-dimensional numerical relativity codes and providing outer boundary conditions. Our approach matches the solution of a Cauchy evolution of Einstein’s equations to a set of one-dimensional linear wave equations on a curved background. We illustrate the mathematical properties of our approach and discuss a numerical module we have constructed for this purpose. This module implements the perturbative matching approach in connection with a generic three-dimensional numerical relativity simulation. Tests of its accuracy and second-order convergence are presented with analytic linear wave data.

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References (24)

  1. Information about the Binary Black Hole Grand Challenge Alliance, its goals and present status of research can be found at the web page http://www.npac.syr.edu/projects/bh/.
  2. For a full discussion on the splitting of spacetime around isolated sources, see K. S. Thorne, Rev. Mod. Phys. 52, 299 (1980).
  3. A. M. Abrahams and C. R. Evans, Phys. Rev. D 37, 318 (1988); ibid.42, 2585 (1990).
  4. N. T. Bishop, R. Gómez, P. R. Holvorcem, R. A. Matzner, P. Papadopoulos, and J. Winicour, Phys. Rev. Lett. 76, 4303 (1996); N. T. Bishop, R. Gómez, L. Lehner, and J. Winicour, Phys. Rev. D 54, 6153 (1996).
  5. The Binary Black Hole Grand Challenge Alliance, A. M. Abrahams et al., Phys. Rev. Lett. 80, 1812 (1998).
  6. J. W. York, Jr., in Sources of Gravitational Radiation, edited by L. Smarr (Cambridge University Press, Cambridge, England, 1979).
  7. L. Rezzolla, A. M. Abrahams, R. A. Matzner, M. E. Rupright, and S. L. Shapiro (in preparation).
  8. Y. Choquet-Bruhat and T. Ruggeri, Commun. Math. Phys. 89, 269 (1983).
  9. Y. Choquet-Bruhat and J. W. York, Jr., C. R. Acad. Sci., Ser. I: Math. 321, 1089 (1995).
  10. A. M. Abrahams, A. Anderson, Y. Choquet-Bruhat, and J. W. York, Jr., Phys. Rev. Lett. 75, 3377 (1995).
  11. A. M. Abrahams, A. Anderson, Y. Choquet-Bruhat, and J. W. York, Jr., Class. Quantum Grav. 14, A9 (1997).
  12. A. M. Abrahams, A. Anderson, Y. Choquet-Bruhat, and J. W. York, Jr., C. R. Acad. Sci., Ser. II: Mec. Phys., Chim., Sci. Terre Univers 323, 835 (1996).
  13. Y. Choquet-Bruhat and J. W. York, Jr., Banach Center Publications, 1997, Vol. 41, Pt. 1, p. 119.
  14. A. Anderson, A. M. Abrahams, and C. Lea, Phys. Rev. D (to be published), gr-qc/9801071.
  15. T. Regge and J. A. Wheeler, Phys. Rev. 108, 1063 (1957).
  16. V. Moncrief, Ann. Phys. (N.Y.) 88, 323 (1974).
  17. F. Zerilli, Phys. Rev. Lett. 24, 737 (1970).
  18. The Binary Black Hole Grand Challenge Alliance, G. B. Cook et al., Phys. Rev. Lett. 80, 2512 (1997).
  19. M. A. Scheel et al., Phys. Rev. D 56, 6320 (1997).
  20. R. Gómez, L. Lehner, P. Papadopoulos, and J. Winicour, Class. Quantum Grav. 14, 977 (1997).
  21. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, England, 1986).
  22. W. L. Burke, J. Math. Phys. 12, 401 (1971).
  23. S. A. Teukolsky, Phys. Rev. D 26, 745 (1982).
  24. A. Anderson, Y. Choquet-Bruhat, and J. W. York, Jr., Topol. Meth. Nonlinear Anal. (to be published), gr-qc/9710041.

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Phys. Rev. D 58, 044005– Published 6 July, 1998
  • Received 30 January 1998

© 1998 American Physical Society

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