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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 (Formula presented) explicitly in terms of hypersurface quantities, we relate it to the Moncrief waveform (Formula presented) through a Chandrasekhar transformation in the case of a nonrotating black hole. This relation between (Formula presented) and (Formula presented) 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 (Formula presented) in terms only of the three-metric and the extrinsic curvature. © 1998 The American Physical Society.

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.
Filiación:Department of Physics, University of Utah, Salt Lake City, UT 84112, United States
Instituto de Astronomía y Física del Espacio, Sucursal 28, Argentina
Año:1998
Volumen:58
Número:2
Página de inicio:7
DOI: http://dx.doi.org/10.1103/PhysRevD.58.024016
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_p7_Campanelli

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Citas:

---------- APA ----------
Campanelli, M., Krivan, W. & Lousto, C. (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), 7.
http://dx.doi.org/10.1103/PhysRevD.58.024016
---------- CHICAGO ----------
Campanelli, M., Krivan, W., Lousto, C. "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) : 7.
http://dx.doi.org/10.1103/PhysRevD.58.024016
---------- MLA ----------
Campanelli, M., Krivan, W., Lousto, C. "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. 7.
http://dx.doi.org/10.1103/PhysRevD.58.024016
---------- VANCOUVER ----------
Campanelli, M., Krivan, W., Lousto, C. 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):7.
http://dx.doi.org/10.1103/PhysRevD.58.024016