Approximate analytical solutions to the initial data problem of black hole binary systems

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 2, 2000, Pages 1-5

  Marronetti, Pedro ^a   Huq, Mijan ^b   Laguna, Pablo ^b   Lehner, Luis ^a   Matzner, Richard A ^a   Shoemaker, Deirdre ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85037207723     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.024017     Document Type: Article

References (16)

1. A. Abramovici et al., Science 256, 325 (1992).
2. C. Bradaschia et al., Nucl. Instrum. Methods Phys. Res. A 289, 518 (1990).
3. The Binary Black Hole Grand Challenge Alliance, R. Gomez et al., Phys. Rev. Lett. 80, 3915 (1998).
4. B. Brügmann, Int. J. Mod. Phys. D 8, 85 (1999).
5. M. Scheel et al., Phys. Rev. D 56, 6320 (1997).
6. J. W. York and T. Piran, in Spacetime and Geometry: The Alfred Schild Lectures, edited by R. A. Matzner and L. C. Shepley (University of Texas Press, Austin, Texas, 1982); G. B. Cook, Ph.D. thesis, The University of North Carolina at Chapel Hill, 1990.
7. J. W. York and T. Piran, in Spacetime and Geometry: The Alfred Schild Lectures, edited by R. A. Matzner and L. C. Shepley (University of Texas Press, Austin, Texas, 1982); G. B. Cook, Ph.D. thesis, The University of North Carolina at Chapel Hill, 1990.
8. R.A. Matzner, M.F. Huq, and D. Shoemaker, Phys. Rev. D 59, 024015 (1999).
9. J. Thornburg, Class. Quantum Grav. 4, 1119 (1987).
10. S. Brandt and B. Brügmann, Phys. Rev. Lett. 78, 3606 (1997).
11. G.B. Cook, M.W. Choptuik, M. Dubal, S.A. Klasky, R.A. Matzner, and S.R. Oliveira, Phys. Rev. D 47, 1471 (1993).
12. R. P. Kerr and A. Schild, "Some Algebraically Degenerate Solutions of Einstein's Gravitational Field Equations," Applications of Nonlinear Partial Differential Equations in Mathematical Physics, Proc. of Symposia B Applied Math., Vol. XV11, 1965; "A New Class of Vacuum Solutions of the Einstein Field Equations," Atti del Convegno Sulla Relativita Generale: Problemi Dell'Energia E Onde Gravitazionale, edited by G. Barbera, 1965.
13. R. P. Kerr and A. Schild, "Some Algebraically Degenerate Solutions of Einstein's Gravitational Field Equations," Applications of Nonlinear Partial Differential Equations in Mathematical Physics, Proc. of Symposia B Applied Math., Vol. XV11, 1965; "A New Class of Vacuum Solutions of the Einstein Field Equations," Atti del Convegno Sulla Relativita Generale: Problemi Dell'Energia E Onde Gravitazionale, edited by G. Barbera, 1965.
14. n).
15. For this paper we work with the constraint functions instead of their normalized counterparts. The normalized constraints provide the degree of violation compared to the magnitude of the terms in each equation and can be misleading when these terms have a relatively small absolute value.
16. Marronetti et al. (in preparation).