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Abstract:

Gravitational perturbations about a Kerr black hole in the Newman-Penrose formalism are concisely described by the Teukolsky equation. New numerical methods for studying the evolution of such perturbations require not only the construction of appropriate initial data to describe the collision of two orbiting black holes, but also to know how such new data must be imposed into the Teukolsky equation. In this paper we show how Cauchy data can be incorporated explicitly into the Teukolsky equation for nonrotating black holes. The Teukolsky function (Formula presented) and its first time derivative (Formula presented) can be written in terms of only the three-geometry and the extrinsic curvature in a gauge-invariant way. Taking a Laplace transform of the Teukolsky equation incorporates initial data as a source term. We show that for astrophysical data the straightforward Green function method leads to divergent integrals that can be regularized like for the case of a source generated by a particle coming from infinity. © 1998 The American Physical Society.

Registro:

Documento: Artículo
Título:Imposition of Cauchy data to the Teukolsky equation. I. The nonrotating case
Autor:Campanelli, M.; Lousto, C.
Filiación:Department of Physics, University of Utah, Salt Lake City, UT 84112, United States
Instituto de Astronomía y Física del Espacio, Argentina
Año:1998
Volumen:58
Número:2
Página de inicio:8
DOI: http://dx.doi.org/10.1103/PhysRevD.58.024015
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v58_n2_p8_Campanelli

Referencias:

  • Proceedings of the 1994 meeting of the Grand Challenge Alliance to study black hole collisions may be obtained by contacting E. Seidel at NCSA (unpublished); Price, R.H., Pullin, J., (1996) Phys. Rev. Lett., 72, p. 3297. , PRLTAO
  • Gleiser, R.J., Nicasio, C.O., Price, R.H., Pullin, J., (1994) Phys. Rev. Lett., 77, p. 4483. , PRLTAO
  • Baker, J., Abrahams, A., Anninos, P., Brandt, S., Price, R., Pullin, J., Seidel, E., (1997) Phys. Rev. D, 55, p. 829. , PRVDAQ
  • Lousto, C.O., Price, R.H., (1997) Phys. Rev. D, 55, p. 2124. , PRVDAQ
  • Lousto, C.O., Price, R.H., (1997) Phys. Rev. D, 56, p. 6439. , PRVDAQ
  • Lousto, C.O., Price, R.H., (1998) Phys. Rev. D, 57, p. 1073. , PRVDAQ
  • Zerilli, F.J., (1970) Phys. Rev. Lett., 24, p. 737. , PRLTAO
  • Moncrief, V., (1974) Ann. Phys. (N.Y.), 88, p. 323. , APNYA6
  • Teukolsky, S.A., (1972) Phys. Rev. Lett., 29, p. 1114. , PRLTAO
  • Teukolsky, S.A., (1973) Astrophys. J., 185, p. 635. , ASJOAB
  • Bardeen, J.M., Press, W.H., (1973) J. Math. Phys., 14, p. 7. , JMAPAQ
  • Detweiler, S.L., (1978) Astrophys. J., 225, p. 687. , ASJOAB
  • Detweiler, S.L., Szedenits, E., (1979) Astrophys. J., 231, p. 211. , ASJOAB
  • Sasaki, M., Nakamura, T., (1982) Phys. Lett., 89A, p. 68. , PYLAAG
  • Poisson, E., (1997) Phys. Rev. D, 55, p. 639. , PRVDAQ
  • Campanelli, M., Lousto, C.O., (1997) Phys. Rev. D, 56, p. 6363. , PRVDAQ
  • Krivan, W., Laguna, P., Papadopoulous, P., Andersson, N., (1997) Phys. Rev. D, 56, p. 3395. , PRVDAQ
  • Campanelli, M., Krivan, W., Lousto, C.O., (1998) Phys. Rev. D, 58, p. 24016. , PRVDAQ
  • Regge, T., Wheeler, J.A., (1957) Phys. Rev., 108, p. 1063. , PHRVAO
  • Misner, C.W., Thorne, K.S., Wheeler, J.A., (1973) Gravitation
  • Wald, R.M., (1973) J. Math. Phys., 14, p. 1453. , JMAPAQ
  • Bishop, N.T., Isaacson, R., Maharaj, M., Winicour, J., (1998) Phys. Rev. D, 57, p. 6113. , PRVDAQ
  • Baker, J., Puzio, R.S., ; Chrzanowski, P.L., (1975) Phys. Rev. D, 11, p. 2042. , PRVDAQ
  • Lousto, C.O., ; Abrahams, A., Price, R.H., (1996) Phys. Rev. D, 53, p. 1963. , PRVDAQ
  • Campanelli, M., Lousto, C.O., Baker, J., Kahnna, G., Pullin, J., Imposition of Cauchy data to the Teukolsky equation. III. The rotating case
  • Misner, C.W., (1963) Ann. Phys. (N.Y.), 24, p. 102. , APNYA6
  • Lindquist, R.W., (1963) J. Math. Phys., 4, p. 938. , JMAPAQ
  • Brill, D.R., Lindquist, R.W., (1963) Phys. Rev., 131, p. 471. , PHRVAO
  • Press, W.H., Teukolsky, S.A., (1973) Astrophys. J., 185, p. 649. , ASJOAB
  • Goldberg, J.N., Macfarlane, A.J., Newman, E.T., Rohrlich, F., Sudarshan, E.C.G., (1967) J. Math. Phys., 8, p. 2155. , JMAPAQ
  • Abrahams, A., Price, R.H., (1996) Phys. Rev. D, 53, p. 1972. , PRVDAQ

Citas:

---------- APA ----------
Campanelli, M. & Lousto, C. (1998) . Imposition of Cauchy data to the Teukolsky equation. I. The nonrotating case. Physical Review D - Particles, Fields, Gravitation and Cosmology, 58(2), 8.
http://dx.doi.org/10.1103/PhysRevD.58.024015
---------- CHICAGO ----------
Campanelli, M., Lousto, C. "Imposition of Cauchy data to the Teukolsky equation. I. The nonrotating case" . Physical Review D - Particles, Fields, Gravitation and Cosmology 58, no. 2 (1998) : 8.
http://dx.doi.org/10.1103/PhysRevD.58.024015
---------- MLA ----------
Campanelli, M., Lousto, C. "Imposition of Cauchy data to the Teukolsky equation. I. The nonrotating case" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 58, no. 2, 1998, pp. 8.
http://dx.doi.org/10.1103/PhysRevD.58.024015
---------- VANCOUVER ----------
Campanelli, M., Lousto, C. Imposition of Cauchy data to the Teukolsky equation. I. The nonrotating case. Phys Rev D Part Fields Gravit Cosmol. 1998;58(2):8.
http://dx.doi.org/10.1103/PhysRevD.58.024015