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  A source-free integration method for black hole perturbations and self-force computation: Radial fall

Aoudia, S., & Spallicci, A. D. A. M. (2011). A source-free integration method for black hole perturbations and self-force computation: Radial fall. Physical Review D, 83(6): 064029. doi:10.1103/PhysRevD.83.064029.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-08B5-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-08B8-E
Genre: Journal Article

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 Creators:
Aoudia, Sofiane1, Author              
Spallicci, Alessandro D. A. M., Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: Perturbations of Schwarzschild-Droste black holes in the Regge-Wheeler gauge benefit from the availability of a wave equation and from the gauge invariance of the wave function, but lack smoothness. Nevertheless, the even perturbations belong to the C\textsuperscript{0} continuity class, if the wave function and its derivatives satisfy specific conditions on the discontinuities, known as jump conditions, at the particle position. These conditions suggest a new way for dealing with finite element integration in time domain. The forward time value in the upper node of the $(t, r^*$) grid cell is obtained by the linear combination of the three preceding node values and of analytic expressions based on the jump conditions. The numerical integration does not deal directly with the source term, the associated singularities and the potential. This amounts to an indirect integration of the wave equation. The known wave forms at infinity are recovered and the wave function at the particle position is shown. In this series of papers, the radial trajectory is dealt with first, being this method of integration applicable to generic orbits of EMRI (Extreme Mass Ratio Inspiral).

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 Dates: 2010-08-152011-03-082011
 Publication Status: Published in print
 Pages: This arXiv version differs from the one to be published by Phys. Rev. D for the use of British English and other minor editorial differences
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 Rev. Method: -
 Identifiers: arXiv: 1008.2507
DOI: 10.1103/PhysRevD.83.064029
URI: http://arxiv.org/abs/1008.2507
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 83 (6) Sequence Number: 064029 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258