Artículo
Abstract:
We solve the problem of expressing the Weyl scalars ψ that describe gravitational perturbations of a Kerr black hole in terms of Cauchy data. To do so we use geometrical identities (such as the Gauss-Codazzi relations) as well as the Einstein equations. We are able to explicitly express ψ and [Formula Presented] as functions only of the extrinsic curvature and the three-metric (and geometrical objects built out of it) of a generic spacelike slice of the spacetime. These results provide the link between initial data and ψ to be evolved by the Teukolsky equation, and can be used to compute the gravitational radiation generated by two orbiting black holes in the close limit approximation. They can also be used to extract wave forms from numerically generated spacetimes. © 1998 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Imposition of Cauchy data to the Teukolsky equation. III. The rotating case |
| Autor: | Campanelli, M.; Lousto, C.O.; Baker, J.; Khanna, G.; Pullin, J. |
| Filiación: | Institut für Astronomie und Astrophysik, Universität Tübingen, Tübingen, D-72076, Germany Instituto de Astronomía y Física del Espacio, Casilla de Correo 67 Sucursal 28, Buenos Aires, (1428), Argentina Center for Gravitational Physics and Geometry, Department of Physics, The Pennsylvania State University, University Park, PA, 16802, United States |
| Año: | 1998 |
| Volumen: | 58 |
| Número: | 8 |
| DOI: | http://dx.doi.org/10.1103/PhysRevD.58.084019 |
| 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_n8_p_Campanelli |
Referencias:
- Price, R., Pullin, J., (1994) Phys. Rev. Lett., 72, p. 3297
- Teukolsky, S.A., (1973) Astrophys. J., 185, p. 635
- Krivan, W., Laguna, P., Papadopoulos, P., Anderson, N., (1997) Phys. Rev. D, 56, p. 3395
- Campanelli, M., Lousto, C.O., (1998) Phys. Rev. D, 58, p. 24015
- Chrzanowski, P.L., (1975) Phys. Rev. D, 11, p. 2042
- Campanelli, M., Krivan, W., Lousto, C.O., (1998) Phys. Rev. D, 58, p. 24016
- Abrahams, A., Anderson, A., Choquet-Bruhat, Y., York, J., Jr., (1997) Class. Quantum Grav., 14, pp. A9
- Misner, C.W., Thorne, K.S., Wheeler, J.A., (1973) Gravitation, , Freeman, San Francisco
- Anderson, A., Choquet-Bruhat, Y., York, J., Jr., gr-qc/9710041; Baker, J., Puzio, R., gr-qc/9802006
Citas:
---------- APA ----------
Campanelli, M., Lousto, C.O., Baker, J., Khanna, G. & Pullin, J. (1998) . Imposition of Cauchy data to the Teukolsky equation. III. The rotating case. Physical Review D - Particles, Fields, Gravitation and Cosmology, 58(8).http://dx.doi.org/10.1103/PhysRevD.58.084019
---------- CHICAGO ----------
Campanelli, M., Lousto, C.O., Baker, J., Khanna, G., Pullin, J. "Imposition of Cauchy data to the Teukolsky equation. III. The rotating case" . Physical Review D - Particles, Fields, Gravitation and Cosmology 58, no. 8 (1998).http://dx.doi.org/10.1103/PhysRevD.58.084019
---------- MLA ----------
Campanelli, M., Lousto, C.O., Baker, J., Khanna, G., Pullin, J. "Imposition of Cauchy data to the Teukolsky equation. III. The rotating case" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 58, no. 8, 1998.http://dx.doi.org/10.1103/PhysRevD.58.084019
---------- VANCOUVER ----------
Campanelli, M., Lousto, C.O., Baker, J., Khanna, G., Pullin, J. Imposition of Cauchy data to the Teukolsky equation. III. The rotating case. Phys Rev D Part Fields Gravit Cosmol. 1998;58(8).http://dx.doi.org/10.1103/PhysRevD.58.084019
