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Regge Calculus: A Unique Tool for Numerical Relativity

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Abstract

The application of Regge calculus, a lattice formulation of general relativity, is reviewed in the context of numerical relativity. Particular emphasis is placed on problems of current computational interest, and the strengths and weaknesses of the lattice approach are highlighted. Several new and illustrative applications are presented, including initial data for the head on collision of two black holes, and the time evolution of vacuum axisymmetric Brill waves.

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REFERENCES

  1. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (1973).

  2. L. Lehner, (2001). Class. Quant. Grav. 18, R25.

    Google Scholar 

  3. T. Regge, (1961). Nouvo Cimento 19, 558.

    Google Scholar 

  4. R. M. Williams, (1997). Nucl. Phys. Proc. Suppl. 57, 73–81.

    Google Scholar 

  5. R. M. Williams, P. A. Tuckey, (1992). Class. Quant. Grav. 9, 1409.

    Google Scholar 

  6. W. A. Miller, (1997). Class. Quant. Grav. 14, L199.

    Google Scholar 

  7. L. C. Brewin, (1998). Class. Quant. Grav. 15, 3085.

    Google Scholar 

  8. A. P. Gentle and W. A. Miller, (1998). Class. Quant. Grav. 15, 389.

    Google Scholar 

  9. J. W. York, in Sources of Gravitational Radiation, ed. L. Smarr, (Cambridge University Press) 1979.

  10. J. W. Barrett, M. Galassi, W. A. Miller, R. D. Sorkin, P. A. Tuckey and R. M. Williams, (1997). Int. J. Theor. Phys. 36, 815.

    Google Scholar 

  11. L. C. Brewin, A. P. Gentle, (2001). Class. Quant. Grav. 18, 517.

    Google Scholar 

  12. D. R. Brill, (1959). Ann. Phys. 7, 466.

    Google Scholar 

  13. M. R. Dubal, (1989). Class. Quant. Grav. 6, 141.

    Google Scholar 

  14. A. P. Gentle, D. E. Holz, W. A. Miller, J. A. Wheeler, (1999). Class. Quant. Grav. 16, 1979.

    Google Scholar 

  15. D. H. Bernstein, Ph.D. Thesis, University of Illonois at Urbana-Champaign, 1993.

    Google Scholar 

  16. A. P. Gentle, (1999). Class. Quant. Grav. 16, 1987.

  17. C. W. Misner, (1960). Phys. Rev. 118, 1110.

    Google Scholar 

  18. P. Anninos, D. Hobill, E. Seidel, L. Smarr, W.-M. Suen, (1995). Phys. Rev. D52, 2044.

    Google Scholar 

  19. D. Garfinkle, G. C. Duncan, (2001). Phys. Rev. D63 044011.

    Google Scholar 

  20. K. Eppley, (1977). Phys. Rev. D16 1609.

    Google Scholar 

  21. M. Alcubierre, B. Brügmann, T. Dramlitsch, J. A. Font, P. Papadopoulous, E. Seidel, N. Stergioulas, R. Takahashi, (2000). Phys. Rev. D62 044034.

    Google Scholar 

  22. L. Smarr, A. Čadež, B. DeWitt and K. Eppley, (1976). Phys. Rev. D14, 2443.

    Google Scholar 

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Gentle, A.P. Regge Calculus: A Unique Tool for Numerical Relativity. General Relativity and Gravitation 34, 1701–1718 (2002). https://doi.org/10.1023/A:1020128425143

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