Artículo
Campanelli, M.; Krivan, W.; Lousto, C.O. "Imposition of Cauchy data to the Teukolsky equation. II. Numerical comparison with the Zerilli-Moncrief approach to black hole perturbations" (1998) Physical Review D - Particles, Fields, Gravitation and Cosmology. 58(2):240161-240167
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Abstract:
We reexamine the question of the imposition of initial data representing astrophysical gravitational perturbations of black holes. We study their dynamics for the case of nonrotating black holes by numerically evolving the Teukolsky equation in the time domain. In order to express the Teukolsky function Ψ explicitly in terms of hypersurface quantities, we relate it to the Moncrief waveform φM through a Chandrasekhar transformation in the case of a nonrotating black hole. This relation between Ψ and φM holds for any constant time hypersurface and allows us to compare the computation of the evolution of Schwarzschild perturbations by the Teukolsky and by the Zerilli and Regge-Wheeler equations. We explicitly perform this comparison for the Misner initial data in the close limit approach. We evolve numerically both the Teukolsky (with the recent code of Krivan et al.) and the Zerilli equations, finding complete agreement in resulting waveforms within numerical error. The consistency of these results further supports the correctness of the numerical code for evolving the Teukolsky equation as well as the analytic expressions for Ψ in terms only of the three-metric and the extrinsic curvature.
Registro:
| Documento: | Artículo |
| Título: | Imposition of Cauchy data to the Teukolsky equation. II. Numerical comparison with the Zerilli-Moncrief approach to black hole perturbations |
| Autor: | Campanelli, M.; Krivan, W.; Lousto, C.O. |
| Filiación: | Department of Physics, University of Utah, 201 JFB, Salt Lake City, UT 84112, United States Inst. F. Astronomie und Astrophysik, Universität Tübingen, D-72076 Tübingen, Germany Inst. Astronomia y Fis. del Espacio, Casilla de Correo 67, Sucursal 28, (1428) Buenos Aires, Argentina |
| Año: | 1998 |
| Volumen: | 58 |
| Número: | 2 |
| Página de inicio: | 240161 |
| Página de fin: | 240167 |
| Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol |
| ISSN: | 05562821 |
| CODEN: | PRVDA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v58_n2_p240161_Campanelli |
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Citas:
---------- APA ----------
Campanelli, M., Krivan, W. & Lousto, C.O. (1998) . Imposition of Cauchy data to the Teukolsky equation. II. Numerical comparison with the Zerilli-Moncrief approach to black hole perturbations. Physical Review D - Particles, Fields, Gravitation and Cosmology, 58(2), 240161-240167.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v58_n2_p240161_Campanelli [ ]
---------- CHICAGO ----------
Campanelli, M., Krivan, W., Lousto, C.O. "Imposition of Cauchy data to the Teukolsky equation. II. Numerical comparison with the Zerilli-Moncrief approach to black hole perturbations" . Physical Review D - Particles, Fields, Gravitation and Cosmology 58, no. 2 (1998) : 240161-240167.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v58_n2_p240161_Campanelli [ ]
---------- MLA ----------
Campanelli, M., Krivan, W., Lousto, C.O. "Imposition of Cauchy data to the Teukolsky equation. II. Numerical comparison with the Zerilli-Moncrief approach to black hole perturbations" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 58, no. 2, 1998, pp. 240161-240167.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v58_n2_p240161_Campanelli [ ]
---------- VANCOUVER ----------
Campanelli, M., Krivan, W., Lousto, C.O. Imposition of Cauchy data to the Teukolsky equation. II. Numerical comparison with the Zerilli-Moncrief approach to black hole perturbations. Phys Rev D Part Fields Gravit Cosmol. 1998;58(2):240161-240167.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v58_n2_p240161_Campanelli [ ]
